Question

A linear function has the same y-intercept as x+4y=8 and it's graph contains the points (3,3). Find the y-intercept and the slope of the linear function. (Write slope in fraction form).

Answer 1

first change the first equation in to slope-intercept form
y=mx+b<-----slope intercept form
m=slope
b=y-intercept
4y=-x+8
y=1/4x+2<----final slope-intercept form
now, you know there is a point that is (0,2), the y-intercept, so now you calculate the slope.
y2-y2/x2-x1<------slope formula
3-2/0-3
1/-3
-1/3<---slope
so your final equation is
y=(-1/3)x+2
hope this helps! :)