Given the equation y=5x-2, find the x-and y-intercept?

Question

Given the equation y=5x-2, find the x-and y-intercept?

Answer 1

The y-intercept occurs when x = 0 so replace x with 0 and solve the equation:

y = 5(0) - 2

y = 0 - 2

y = -2

in terms of coordinates: y-intercept is (0, -2)

Similarly, the x-intercept occurs when y = 0.  Do the same thing you did before but this time set y = 0:

0 = 5x - 2

2 = 5x

2/5 = x

x-intercept in terms of coordinates is (2/5, 0)

Answer 2

you can also graph this.

Answer 3

y intercept is -2

x intercept is 2/5.

When y = 0, x= 2/5

When x = 0, y =-2