Question

What is the equation of the line that passes through the point (-2, 1) and has a

slope of -5/2?

Answer 1

y = -5/2x - 4

Explanation:

When given a point and a slope, we use slope-intercept formula:

y - y1 = m (x - x1)

m = slope point: (-2,1)

y - y1 = m (x - x1)

y - 1 = -5/2 (x - (-2))

y -1 = -5/2x - 5

+ 1 + 1

y = -5/2x - 4

To check our answer, I attached the graph.

Hope this helps!