# Recent questions tagged line

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Find an equation for the plane that passes through $$(6,0,-2)$$ and contains the line $$x=4 - 2t, y=3+5t, z=7+4t$$
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How do you identify which lines are parallel?
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When dimension reducing data in $\mathbb{R}^D$ using PCA, the choice of embedding dimension is crucial. Many heuristics exist to estimate a good dimension. One is to choo...
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Find (a) all horizontal and (b) all vertical asymptotes of the graph$y=\frac{|x| \sqrt{4 x^{4}+6 x^{2}+4}}{(2 x-1)^{2}(x+1)}$
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Find the vertical and horizontal asymptotes of the graph of the function $$f(x)=\sqrt{x+1}-\sqrt{x}$$.
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Find the vertical and horizontal asymptotes of the graph of the function $$f(x)=(2 x+3) / \sqrt{x^{2}-2 x-3}$$.
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Find any vertical and horizontal asymptotes of the graph of the function $$f(x)=(4 x-5) /(3 x+2)$$.
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Two variables are related by the equation $$2 \ln x+\ln y=x-y$$. What is the equation of the tangent line to the graph of this relation at the point $$(1,1)$$ ?
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Is the angle between the tangent and the chord equal to the angle in the alternate segment?
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What is the slope of a straight line?
461
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how to find the gradient of a line
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On a graph, what is an y-coordinate?
528
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How do I find the slope of a straight line?
362
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What is the meaning of a solid yellow line in the center of the road?
281
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Number Line: Operations - PHET Simulations
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Number Line: Integers - PHET Simulation
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Given $$h(x)=-3^x-1$$. Determine the coordinates of the y-intercept of $$h$$.
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Without solving for $$x$$, determine the nature of the roots of the following equation:$x^2-4 x=-3$
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Determine the values of $$m$$ for which $$y=m x-1$$ is a tangent to $$y=x^2-2 x+3$$.
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How do you find the equation of a line given its point-slope form?
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How do you find the equation of a line given its slope and y-intercept?
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How do you find the slope of a line given two points?
463
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What is the formula for the slope of a line in point-slope form?
235
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What is the equation of the line that is parallel to the line $y = 2x+1$ and passes through the point $(3,5)$?
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What is the equation of the circle with center $(5,3)$ and radius 8?
405
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What is the slope of the line that passes through the points $(3,4)$ and $(6,8)$?
449
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How do you solve the equation $ax^2 + bx + c = 0$ using the quadratic formula?
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Using the Factor Theorem, factor the polynomial $x^3 + 6x^2 + 11x + 6$.
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The function $$f: x \rightarrow \log _a x$$ passes through the point $$(4 ;-2)$$.(a) Determine the value of $$a$$ and hence the equation of $$f$$.(b) Write down the equat...
431
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What is the horizontal line test for functions?
426
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What is the vertical line test for functions?
251
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Find the slope of the line: $$y = 2x + 1$$
290
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Find the circumference of a circle with radius 4.
616
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Determine the equation of the line through the points $(1,2)$ and $(3,4)$ in the form $ax + by + c = 0$.
261
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Find the equation of the circle with center $(2,3)$ and radius 5.
278
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Determine the equation of the line through the point $(1,2)$ with a slope of 3.
334
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Find the slope of the line through the points $(1,2)$ and $(3,4)$.
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Find the distance between the points $(2,3)$ and $(5,6)$.
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A boat is sailing due north at a speed of 15 knots. The wind is blowing from the northeast at a speed of 10 knots. What is the resulting speed and direction of the boat?
255
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Factor the polynomial $x^2 + 5x + 6$.
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Find the slope of the line that passes through the points (1, 5) and (3, 9).
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In the $$x y$$-coordinate plane, the $$x$$-axis and the line $$y=x$$ are mirrors. If you shoot a laser beam from the point $$(126,21)$$ toward a point on the positive $$x... 281 views 0 answers A mustache is created by taking the set of points \((x, y)$$ in the $$x y$$ coordinate plane that satisfy $$4+4 \cos (\pi x / 24) \leq y \leq 6+6 \cos (\pi x / 24)$$ and ...
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What is the smallest positive integer $$m$$ such that $$15 ! m$$ can be expressed in more than one way as a product of 16 distinct positive integers, up to order?
Across the face of a rectangular post-it note, you idly draw lines that are parallel to its edges. Each time you draw a line, there is a $$50 \%$$ chance it'll be each di...
$1(10,000)+2(1,000)+4(100)+3(10)+2(1)+5(1 / 10)+3(1 / 100)$Which number below is one-tenth of the expanded form above?A $$12422.53$$B $$1243.253$$C $$12432.53$$D $$1243... 516 views 1 answers Let \(\vec{a}, \vec{b}$$ and $$\vec{c}$$ be three unit vectors such that $$|\vec{a}-\vec{b}|^2+|\vec{a}-\vec{c}|^2=8$$. Then $$|\vec{a}+2 \vec{b}|^2+|\vec{a}+2 \vec{c}|^2... 349 views 0 answers If \(R=\left\{(x, y): x, y \in Z, x^2+3 y^2 \leq 8\right\}$$ is a relation on the set of integers $$Z$$, then the domain $$R^{-1}$$ is :(1) $$\{-1,0,1\}$$(2) $$\{-2,-1,1,... 499 views 0 answers The domain of the function \(f(x)=\sin ^{-1}\left(\frac{|x|+5}{x^2+1}\right)$$ is $$(-\infty,-a] \cup[a, \infty)$$, Then a is equal to:(1) $$\frac{1+\sqrt{17}}{2}$$(2) \(...