Linda 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 slopes of these two lines. What could she do next 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 y
-coordinate and subtract the result from the x
-coordinate.
Multiply the slope by the x
-coordinate and add the y
-coordinate to the product.
Substitute the slope and the coordinates of point R
in y=mx+b
and then solve for b
for each equation.
Solve the proportion m/b=y/x
for b
.