Line r is parallel to the graph of 2x – 3y = –18. The y-intercept of line r is –2. What is the x-intercept of line r?
step 1
Find the slope of the given line
we have
2x-3y=-18
isoalte the variable y
3y=2x+18
y=(2/3)x+6
the lope is 2/3
step 2
Find the slope of line r
Remember that
If two lines are parallel, then their slopes are the same
therefore
the slope of line r is m=2/3
step 3
Find the equation in slope intercept form of line r
y=mx+b
we have
m=2/3
b=-2
substitute
y=(2/3)x-2
step 4
Find the x-intercept
Remember that the x-intercept is the value of x when the value of y is equal to zero
so
For y=0
0=(2/3)x-2
2/3 x=2
x=3
the answer is
the intercept is 3