Question

What is the equation of the line in point-slope form?

Answer 1

A

Explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

Calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (- 4, - 4) and (x₂, y₂ ) = (4, 0) ← 2 points on the line

m =
`(0+4)/(4+4)` =
`(4)/(8)` =
`(1)/(2)`

Using (a, b) = (- 4, - 4), then

y - (- 4) =
`(1)/(2)` (x - (- 4)), that is

y + 4 =
`(1)/(2)` (x + 4) → A

Answer 2

A
The graph has a slope of 1/2 and passes through the point (-4,-4), and following standard point slope form you would get the equation in the first option