please help me with this problem

Question

line passes through (4,-2) and slope 5/4 write an equation in slope intercept form

Answer 1

We are given the slope, m = 5/4 and the point (4, -2).

Use the point-slope form y - y₀ = m*(x - x₀) and convert it into slope-intercept form.

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

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

y = (5/4)x - 7

Answer 2

You can use the point slope equation for this.

m=5/4

x1 = 4

y1 = -2

(y-y1)=m(x-x1)

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

(y+2)=5/4(x-4) Distribute

y+2 =5/4x-5 Subtract 2 from both sides

y=5/4x-7