Question

PLS IM SO STUCK ITS MATH

Answer 1

Answer:

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

Step-by-step explanation:

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

$-7x+4y=56\\4y=56+7x\\y=14+\frac{7}{4}x\\y=\frac{7}{4}x+14$

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:

$0=\frac{7}{4}x+14\\-14=\frac{7}{4}x\\-56=7x\\-8=x$

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)