Aline has a slope of - 3/2 and has a y-intercept of 3

What is the x-intercept of the line?

The x intercept is (2,0)

Step-by-step explanation:

We know the slope and the y intercept so we can use the slope intercept to write the equation

y = mx+b where m is the slope and b is the y intercept

y = - 3/2x + 3

We want to find the x intercept so set y = 0 and solve for x

0 = - 3/2x + 3

Subtract - 3 from each side

-3 = - 3/2x+3-3

-3 = - 3/2x

Multiply each side by - 2/3

-3 * - 2/3 = - 3/2 x * - 2/3

2 = x

The x intercept is (2,0)

(2,0)

Step-by-step explanation:

y = mx+b

m = slope = - 3/2

Equation for the line in slope-intercept form:

y = - 3/2x + b

y-intercept = 3, when x=0

x=0 ⇒ y = b = 3

(0, 3) is y-intercept

x - intercept, when y=0

y = 0 ⇒ - 3/2x+3=0

-3/2x=-3

x=2

So (2, 0) is x - intercept