Susie wants to write equations in the form y=mx+b
for the lines passing through point R
that are parallel and perpendicular to line s
. First she finds the slope of line s
and line v
to be −23
and the slope of line t
to be 32
. Point R
is located at (2,2)
. Which step could be used to find the y
-intercepts?
On a coordinate plane, lines v and s are parallel. Line t intersects with line v at point R.
CLEAR CHECK
Multiply the slope by the x
-coordinate (2)
and add the y
-coordinate (2)
to the product.
Substitute the slope and the coordinates of point R
(2,2)
in y=mx+b
and then solve for b
for each equation.
Solve the proportion m/b=2/2
for b
.
Multiply the slope by the y
-coordinate (2)
and subtract the result from the x
-coordinate (2)
.
The step that could be used to find the y-intercepts is:
Substitute the slope and the coordinates of point R (2,2) in y=mx+b and then solve for b for each equation.