Question

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

Answer 1

The equation of the line would be y = -3x + 3

The x intercept is when y is equal to 0.

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

0 = -3x + 3

0-3 = -3x +3 -3

-3 = -3x

-3/-3 = -3/-3x

1 = x

The x intercept is (1,0)

Answer 2

Answer: 1

Step-by-step explanation: To solve this problem, let's graph the line.

It's important to understand that the y-intercept is the point where the line crosses the y-axis.

So if our line has a y-intercept of 3, it crosses the y-axis up 3 units. So we start this problem by plotting the point (0,3) which I labeled point A.

From there, our slope of -3 can be thought of as -3/1 so we go down 3 units and to the right 1 unit and plot point B. Notice that point B happens to lie on the x-axis at (1,0) and remember that the x-intercept is the point where the line crosses the x-axis. Since our line crosses the x-axis at the point (1,0), it has an x-intercept of 1.

If you're given a y-intercept and a slope like you are in this problem, you won't always be able to determine the x-intercept but things work out nicely here because point B happens to lie on the x-axis.