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3 years ago

Which equation matches the graph shown?

Mathematics

2 answers:

timofeeve [1]3 years ago

7 0

Take 2 points

(0,-3)
(1,1)

Slope:-

$\\ \sf\longmapsto m=\dfrac{1+3}{1}=4$

Equation of line in point slope form

$\\ \sf\longmapsto y-y_1=m(x-x_1)$

$\\ \sf\longmapsto y+3=4x$

$\\ \sf\longmapsto y=4x-3$

pogonyaev3 years ago

4 0

Answer:

C. y = 4x - 3

Step-by-step explanation:

<u>The line has a positive slope and negative y-intercept.</u>

m = 4, b = - 3

This is only matched by a choice C

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2 years ago

Let L be the line parametrized by x = 2 + 2t, y = 3t, z = −1 − t. (a) Find a linear equation for the plane that is perpendicular

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Step-by-step explanation:

Given that L is a line parametrized by

$x = 2 + 2t, y = 3t, z = −1 − t$

The plane perpendicular to the line will have normal as this line and hence direction ratios of normal would be coefficient of t in x,y,z

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So equation of the plane would be of the form

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Use the fact that the plane passes through (2,0,-1) and hence this point will satisfy this equation.

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b) Substitute general point of L in the plane to find the intersecting point

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