Question

A line has a slope of –3/2 and has a y-intercept of 3. What is the x-intercept of the line?

Answer 1

First set up the equation
y=mx + b
m = slope
b = y-intercept

Answer 2

To find the x-intercept, plug in 0 for y and solve for x

Answer 3

How do you solve?

Answer 4

y=mx+b

for x intercept y= 0
so
0 = mx+b

you know m and b so put those values into the above and you can solve x

Answer 5

slope = -3/2
y -intercept = 3

y = mx + b
y = (-3/2)x + 3

Plug in 0 for y and solve for x
0 = (-3/2)x + 3

Answer 6

x=2?

Answer 7

Perfect