What is the slope-intercept form of the equation of the line that passes through the points (7,-5) and (3,-9)

y = −5x + 24

Step-by-step explanation:

Given:

Point: (3,9)

Slope: −5

First determine the point-slope form , then solve for y to get the slope-intercept form.

Point-slope form: y − y1 = m(x−x1)

where: m is the slope, and (x1,y1) is a point on the line.

Plug in the known values. y − 9 = −5(x−3) ← Point-slope form

Slope-intercept form: y = mx + b

where: m is the slope and b is the y-intercept.

Solve for y:

y − 9 = −5x + 15

Add 9 to both sides.

y = −5x + 15 + 9

Simplify:

y = −5x + 24 ←Slope-intercept form

43

step-by-step explanation: