The answer is A: a slope of 2/9
First you need to change find the y-intercept by converting the standard form equation to slope-intercept form. The goal is to isolate y:
x + 4y = 12
x + 4y - x = 12 - x
4y = 12 - x
4y / 4 = 12/4 - x
y = 3 - x
Change so that the slope is before the intercept:
y = -x + 3
Now we know that the y-intercept is 3.
Use the slope equation, which is y2 - y1/x2 - x1, is find the slope:
5 - 3/9 - 0 = 2/9
So, the slope is 2/9!
