Question

What are the intercepts of y=8x-18

Answer 1

Answer:

$x-intercept=\frac{9}{4}$

$y-intercept=-18$

Step-by-step 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:

$\frac{18}{8}=\frac{8x}{8} \\\\\frac{18}{8} =\frac{9}{4}\\ \\x=\frac{9}{4}$

The x -intercept is $\frac{9}{4}$.

$x-intercept=(\frac{9}{4},0)\\\\y-intercept=(0,-18)$

:Done

Answer 2

Step-by-step 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