find an equation for the line that passes through the points (-1,-5) and (5,-2)

Answer 1

You first need to find the slope of the line that passes through the two points

m = (y₂ - y_{1) /} ( x₂ - x₁) = (-2 - -5)/(5 - -1) =3/6 = 1/2 Becareful with the signs

Use this slope with either point and the point-slope form. y - y₁ = m(x - x₁)

Using the point (-1, -5) y - -5 = 1/2( x - -1) simplify

y + 5 = 1/2( x +1) multiply by 2

2y + 10 = x + 1

2y = x -9

y = (1/2)x - (9/2)