Question

Write the equation of the line that passes through the points (−9,−7) and (−4,4). Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal line.

Answer 1

Slope

• m=(4+7)/-4+9
• m=11/5

Equation in point slope form

• y-y1=m(x-x1)

• y+7=11/5(x+9)

Answer 2

• y + 7 = 11/5(x + 9)

Explanation:

Given points:

• (-9, -7) and (-4, 4)

Find the slope:

• m = (4 - (-7)) / (-4 - (-9)) = 11/5

Use one of the points and point-slope form:

• y - y1 = m(x - x2)
• y - (-7) = 11/5(x - (-9))
• y + 7 = 11/5(x + 9)