y intercept=3

you can figure this out by solving the equation for y

if you add the 7x to the other side you get 4y=12+7x then you divide by 4 on both sides so you get…

y=(7/4)x+3

the equation is now in slope intercept form

in slope intercept form the number infront of x is the slope and then number added or subtracted on is the y intercept. keep in mind that if you are subtracting on a number then the y intercept is negative

**everyone who is saying the slope is 7 or -7 and y intercept is 12 are wrong because they forgot to divide by 4**

-7x + 4y = 12

Add 7x to both sides……….4y = 7x + 12

Divide both sides by 4……y = 7/4 x + 3

slope is 7/4

y- intercept is 3.

y = mx + b

m = slope

b = y-intercept

you need to put the equation in slope intercept form

-7x + 4y = 12

add 7x for both sides

4y = 7x + 12

divide 4 for both sides

y = (7/4)x + 3

slope is 7/4

y-intercept is 3

y intercept is at 12. -7 is the slope.

4 is the slope