Question

Complete the point-slope equation of the line through (-8,-8)(−8,−8)left parenthesis, minus, 8, comma, minus, 8, right parenthesis and (-7,9)(−7,9)left parenthesis, minus, 7, comma, 9, right parenthesis. Use exact numbers. y-9=y−9=y, minus, 9, equals

Answer 1

y-9 = 17(x+7)

Explanation:

Given the points (-8, -8) and (-7, 9), the general form of equation of the line passing through this point is expressed as y-y1 = m(x-x1) where;

m = slope or gradient and (x1, y1) is the point

m = Δy/Δx = y₂-y₁/x₂-x₁

m = 9-(-8)/-7-(-8)

m = 17/1

m = 17

The slope of the line is 17.

The point-slope equation of the line through the point (-7, 9) is expressed as

y-9 = 17(x-(-7))

y-9 = 17(x+7)