Question

Write the equation of the line that passes through the points (-5,1) and (5,8). Put

your answer in fully reduced point-slope form, unless it is a vertical or horizontal line.

Answer 1

slope m = (y₂ - y₁) / (x₂ - x₁)

= (8 - 1) / (5 - (-5))

m = 7/10

y-intercept using slope above and anyone of given point. Let's use (-5, 1):

y = mx + b

1 = 7/10(-5) + b

1 = -35/10 + b

b = 45/10

b = 9/2

Equation of line:

y = mx + b

y = 7/10x + 9/2

Point slope form:

y - y₁ = m(x - x₁)

y - 1 = 7/10(x - (-5))

y - 1 = 7/10(x + 5)