Question

what is the equation of the line in slope-intercept form:

4x – 9y = –36

Answer 1

slope-intercept form of a line: y=mx+c
where, m=slope and c=y intercept
to find the slope of a equation like ax+yb=s ----> m=-a/b
and you can find the y intecept(c) by putting x=0 in this equation as y intercept is the point on the line on the y-axis where the x coordinate is always 0.
now put the value of m and c in the slope intercept form to get your equation

Answer 2

\[\huge 4x - 9y = -36\]
\[\huge \text{To turn it to slope-intercept form:}\]
\[\huge y = mx + b\]
\[\huge \text{Solve for the y-variable. =)}\]

Answer 3

Try to isolate the y on one side of the equation
Hint: subtract the x variable on both sides of the equation first

Answer 4

So we would have:
-9y = -4x - 36

Answer 5

\[\huge 4x - 9y = -36\]
Just divide everything by -9 ( to get the y variable by itself)
Then move the x to the other side to get the other form:
\[\huge \frac{ -4 }{ 9 }x + y = 4\]
\[\huge y = \frac{ 4 }{ 9 }x + 4\]

Answer 6

TA DA!! :D