Question

Write the equation of the line, in point-slope form. Identify the point, Use the box provided or the upload option to submit all of your calculations and final answer.

Answer 1

Point slope: y - y1 = m(x - x1), m is the slope

first picture

points (-4,-1) and (3,-3)
the slope between these points is

slope = (-3 - 1)/( 3 - (-4) ) = -2/7

if (x1, y1) = (-4, -1), then the slope-point form is

y + 1 = -2/7(x + 4)

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second picture (horizontal line)

from the graph, the slope is 0 because there is no rise for a horizontal line.
if (x1, y1) = (-2, 1), then the point slope form is

y - 1 = 0(x + 2)

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third picture

from the graph, we have points (-2,2) and (2,-2) on the line. the slope is

slope = (-2 - 2)/(2 - (-2) ) = -1

if (x1, y1) = (-2,2), then point slope form is

y - 2 = -1(x + 2)

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fourth picture

if points (-2,-1) and (2,1) are on the graph, then slope is

slope = (1 - (-1) ) / (2 - (-2) ) = 1/2

with (x1, y1) = (-2,-1), the point slope form is

y + 1 = 1/2(x + 2)

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fifth picture

we have points (-1,-2) and (1,2). the slope is

slope = (2 - (-2) ) / (1 - (-1) ) = 2

with (x1, y1) = (1,2), the point slope form is

y - 2 = 2(x - 1)