Question

What are the intercepts of y=8x-18

Answer 1

Explanation:

Step 1: Find the y-intercept

To find the y-intercept, you need to set the x-value to 0 and solve for y.

`y = 8(0) - 18`

`y = 0 - 18`

`y = -18`

`(0, -18)` ← y-int

Step 2: Find the x-intercept

To find the x-intercept, you need to set the y-value to 0 and solve for x.

`0 + 18 = 8x - 18 + 18`

`18 / 8 = 8x / 8`

`2.25 = x`

`(2.25, 0)` ← x-int

Answer 2

`x-intercept=(9)/(4)`

`y-intercept=-18`

Explanation:

The y-intercept is where x is equal to 0, and the x-intercept is where y is equal to 0, so:

`x-intercept=(x,0)\\y-intercept=(0,y)`

The equation is written in slope-intercept form:

`y=mx+b`

m is the slope and b is the y-intercept, so the y-intercept is -18.

Now set the value of y to 0 to find the intercept of x:

`0=8x-18`

Solve for x. Add 18 to both sides:

`0+18=8x-18+18\\18=8x`

Divide both sides by 8:

`(18)/(8)=(8x)/(8) \\\\(18)/(8) =(9)/(4)\\ \\x=(9)/(4)`

The x -intercept is
`(9)/(4)`.

`x-intercept=((9)/(4),0)\\\\y-intercept=(0,-18)`

:Done