Answer:
y = −5x + 24
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