Question

Any help is appreciated ❤️

Answer 1

Understanding:

[Q4] Slope intercept form is
`y=mx+b`, where m is slope and b is the y-intercept. We calculated the slope in the previous question which was -45. We can find b by using any point on the previous table and replacing it's x and y values, for this example, I'm going to use (0,1080).

`y=mx+b\\1080=-45(0)+b\\b=1080`

Now, we can rewrite the equation as follows

`y=-45x+1080`

[Q5] To find the y-intercept we simply replace every x value with a 0,

`y=-45x+1080\\y=-45(0)+1080\\y=1080`

This means the y-intercept is at
`(0,1080)`.

For the x-intercept, you replace the y value with a 0 and solve for x,

`y=-45x+1080\\0=-45x+1080\\-1080=-45x\\x=24`

This means the x-intercept is at
`(24,0)`.

Solutions:

[Q4]
`y=-45x+1080`

[Q5] x-intercept:
`x=24`; y-intercept:
`y=1080`

[Q6] The x-intercept represents the months it takes Philip to fully pay his friend for the car. The y-intercept represents the total amount Philip had to pay his friend.