Question

Find the intercepts of the line. y=−5x−17

Answer 1

x-intercept: (-17/5, 0)

y-intercept: (0, -17)

Explanation:

To find the x-intercept, set y = 0:

`0=-5x-17\\5x=-17\\x=-(17)/(5)`

To find the y-intercept, set x = 0:

`y=-5(0)-17\\y=0-17\\y=-17`

In general, for a line in the form y = mx + b, the coordinates of the x-intercept are (-b/m, 0), and the coordinates of the y-intercept are (0, b).