math exit ticket question 2

Question

Write the equation of a line in point-slope form that passes through the point (4,-3) and is parallel to the line y=5/2x+1: *

Answer 1

Parallel to the line, it means the gradients are the same: m = 5/2

Points (4, -3)

By the formula,

(y - y₁) = m(x - x₁)

(y - (-3)) = (5/2)(x - 4)

y = (5/2)x -13