Question

PLS IM SO STUCK ITS MATH

Answer 1

y-intecept: (0,14), x-intercept: (-8,0)

Explanation:

Let us first solve for the y-intercept, solve the equation for y to set it to slope-intercept form.

`-7x+4y=56\\4y=56+7x\\y=14+(7)/(4)x\\y=(7)/(4)x+14\\`

Now we have our y-intercept, 14

To solve for the x-intercept, all we have to do is set y to 0 and solve for x:

`0=(7)/(4)x+14\\-14=(7)/(4)x\\-56=7x\\-8=x`

Therefore our x-intercept is -8.

To find the vector (x and y value) of the x intercept, we set the y value equal to 0, such as the vector of the x-intercept is equal to (-8,0).

For the y-intercept we follow a similar approach setting the x-value equal to 0, making it (0,14)