Question

Complete the point-slope equation of the line through (- 8, - 1) and (- 6, 5) . Use exact numbers

Answer 1

Answer:

y - 5 = 3(x + 6)

Step-by-step 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 ) = (- 8, - 1) and (x₂, y₂ ) = (- 6, 5)

m = $\frac{5+1}{-6+8}$ = $\frac{6}{2}$ = 3

Use either of the points as (a, b)

Using (- 6, 5), then

y - 5 = 3(x - (- 6)), that is

y - 5 = 3(x + 6)