Question

Find the equation of the line through the points (-3,1) and (5,4) using the point-slope form. Then rewrite the equation in slope-intercept form.

Answer 1

Answer: y = 3/8 x + 17/8

Explanation:

Point-Slope Form: y - y₁ = m (x- x₁) Slope: Change in y/Change in x

(-3,1) and (5,4) are the coordinates given. 4 - 1 / 5 - ( - 3)

Slope Intercept Form: y =mx + b 3 / 8 ( - ) ( - ) = +

Write in point slope: | Using (-3, 1) |

y - 1 = 3/8 ( x - ( -3 ) )

y - 1 = 3/8 ( x + 3)

y - 1 = 3/8 x + 9/8

y - 8/8 = 3/8 x + 9/8

y = 3/8 x + 17/8