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.
[tex]-7x+4y=56\\4y=56+7x\\y=14+\frac{7}{4}x\\y=\frac{7}{4}x+14\\[/tex]
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:
[tex]0=\frac{7}{4}x+14\\-14=\frac{7}{4}x\\-56=7x\\-8=x[/tex]
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)
