Determine the intercepts of the line. 4x-3y=17

We can get the intercepts by isolating x and y.

4x - 3y = 17

Subtract 4x from both sides.

-3y = - 4x + 17

Divide both sides by - 3.

y = 4/3x - 17/3

Input 0 for x.

y = - 17/3

The y-intercept is (0, - 17/3)

4x - 3y = 17

Add 3y to both sides.

4x = 3y + 17

Divide both sides by 4.

x = 3/4y + 17/4

Input 0 for y.

x = 17/4, or 4.25

The x-intercept is (4.25, 0).