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