Answer:
a, ½; b. ½
Step-by-step explanation:
a. Parallel lines
y = ½x + 7
Slope = ½
Any parallel line will have
slope = ½
In the figure below, the graph of your equation is the solid red line. The dashed red line is parallel to it with the same slope.
b. Perpendicular lines
y = -2x+3
Slope₁ = -2
Any perpendicular line will have
Slope = -1/slope₁ = -1/(-2) = ½
The solid black line is the graph of your equation, and the dashed black line is perpendicular to it, as is the dashed red line.
