Question

Find the x-intercept and the y-intercept without graphing. Write the coordinates of each intercept.

5. y=−3x+6

Answer 1

5. the answer is y’=-3

Answer 2

Point of x-intercept: (2,0).

Point of y-intercept: (0,6).

Explanation:

1. Finding the x-intercept.

This point is where the graph of the function touches the x axis. It can be found by substituting the "y" for 0. This is how you do it:

`y=-3x+6\\ \\-3x+6=0\\ \\-3x=-6\\\\x=(-6)/(-3) \\ \\x=2`

Hence, the point of x-intercept: (2,0).

2. Finding the y-intercept.

This point is where the graph of the function touches the y axis. It can be found by substituting the "x" for 0. This is how you do it:

`y=-3(0)+6\\ \\y=6`

Hence, the point of y-intercept: (0,6).