Question

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

Answer 1

Answer is x intercept is 4

Step by step

The x-intercept is the point where the value of y=0. For this pair, the point is (4,0).
The y-intercept is the place where the value of x=0, for this pair the point is (0, 24)

Answer 2

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=(y_(2-)y_1)/(x_2-x_1)`

Replace the values:

`m=(0-24)/(4-0)=(-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=(24)/(6)=4`

Therefore, the x-intercept is 4.