Question

What is the point slope form of the line with slope 2/5 that passes through the point (-4, -7)?

y+7=2/5(x+4)
y-7=2/5(x-4)
y-4=2/5(x-7)
y+4=2/5(x+7)

Answer 1

A. y + 7 = 2/5(x + 4)

Explanation:

• gradient (m) = 2/5
• (x1, y1) → (-4, - 7)
• x1 = -4
• y1 = -7

so,

`\rm y - y1 = m(x - x1)`

`\rm y - ( - 7) = (2)/(5) (x - ( - 4))`

`\boxed{ \rm y + 7 = (2)/(5) (x + 4)}`