Question

Find the x-intercept of the following line. y=5x - 20.

a) (0, 20)
b) (4, 0)
c) (0, -20)
d) (−4, 0)

Answer 1

To find the x-intercept of the line y = 5x - 20, set y to 0 and solve for x to get x = 4. Hence, the x-intercept is at (4, 0), corresponding to option b).

Step-by-step explanation:

The x-intercept of a line is the point where the line crosses the x-axis. At this point, the value of y is zero. To find the x-intercept for the equation y = 5x - 20, we set y to zero and solve for x:

0 = 5x - 20

Adding 20 to both sides gives us:

20 = 5x

Now, divide both sides by 5 to solve for x:

4 = x

Therefore, the x-intercept is at the point (4, 0), which corresponds to option b).