Question

Find the x-intercept of the like through (0,24) and (4,0)

Answer 1

To find the y and x-intercept, we need to find the line using the two points given.

First, let's find the slope, use the slope formula:

$m=\frac{y_{2-}y_1}{x_2-x_1}$

Replace the values:

$m=\frac{0-24}{4-0}=\frac{-24}{4}=-6$

Then, use the next formula to find the line:

$y-y_1=m(x-x_1)$

Use the point (0,24)

$y-24=-6(x-0)$$y-24=-6x$

Solve the equation for y:

Add both sides 24

$y-24+24=-6x+24$$y\text{ = -6x+24}$

Where -6 is the slope and 24 is the y-intercept.

Now, to find the x-intercept you need to set y=0.

$0=-6x+24$

Then, solve the equation for x:

$6x\text{ = 24}$$x=\frac{24}{6}=4$

Therefore, the x-intercept is 4.