10. Find the slope of each line.
a. A line that is parallel to the graph of y = 1/2x+7
b. A line that is perpendicular to the graph of y = -2x – 3.

a. 1/2

b. 1/2

Step-by-step explanation:

a. Compare with y = mx + c where m is slope

b. For two lines perpendicular to each other, product of their slopes is -1

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.

jml angle lkj & angle mj = lm