Question

Write the equation of the line that passes through the points (-7,0)(−7,0) and (6,-4)(6,−4). Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal line.

Answer 1

Answer:

y = -4/13(x + 7).

Step-by-step explanation:

The slope m = (0 - (-4) / (-7 - 6) =  -4/13.

So in point slope form is:-

y - 0 = -4/13(x - (-7)

y = -4/13(x + 7).

Answer 2

The equation of the line in point-slope form is y = -4/13(x+7)

The equation of a line in point-slope form is expressed as:

• y - y0 = m(x-x0)

• m is the slope of the line

• (x0, y0) is any point on the line

Get the slope;

Given the coordinate points (−7,0) and (6,-4)

$m=\frac{-4-0}{6+7}\\m =\frac{-4}{13}$

Substitute the slope and (-7, 0) into the formula to have:

y - 0 = -4/13 (x-(-7))

y = -4/13(x+7)

Hence the equation of the line in point-slope form is y = -4/13(x+7)

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