Question

PLEASE HELP 20 POINTS

Find an equation for the line represented by each set of information below.
a. A slope of -2 and a y-intercept of -7
b. A slope of 3⁄4, passing through the point (8, 1)
c. A line passing through the points (4, 5) and (6, 8)
d. A line with a slope of 5 and the same y-intercept as the equation 2x + 5y = 20.

Answer 1

The equations to each part follows as

A. y = -2x-7

B. y = 3/4x-1

C. y = 3/2x-1

D. y = 5x+4
This is because when you plug into the formula y=mx+b you can see that this is what you would get and to solve for slope or m you have to subtract y2 from y1 and the domain would be x2 subtracted from x1 so it would be like y2-y1/x2-x1. Then to find b or the y-intercept your equation would be y=mx+b, you would plug in one points x and y value and the slope and solve for b.

Answer 2

y=mc+x so that works out and substitute in the numbers