Question

PLEASE HELP MEE!!!!! WILL GIVE BRAINLIEST AND HANGOUTS!!!!!!!!

Answer 1

Answer:

Blue line: y = -2

Red line: y = 2/3 x + 2

Perpendicular to red line: y = -3/2x + 2

Parallel to red line: y = 2/3 x + any real number

Answer 2

Answer:

Blue line is y=-2

Red line is $y=\frac{2}{3}x+2$.

Perpendicular to red is $y=-\frac{3}{2}x+2$.

Parallel to red is $y=\frac{2}{3}x+5$

Step-by-step explanation:

The blue line is a horizontal line through the y-axis. These lines have no slope and are written as y=0x-2 since -2 is the y-intercept. We simplify and y=-2.

The red line has a slope of 2/3 since it rises 2 units for every 3 units it runs from point to point. It has a y-intercept at 2 on the y-axis. The equation in slope-intercept is y=mx +b. We substitute. $y=\frac{2}{3}x+2$

To write a parallel line, we use the same slope and choose a different y-intercept. Parallel to red is $y=\frac{2}{3}x+5$

To write a perpendicular line, we find the negative reciprocal of the slope which is -3/2. Perpendicular to red is $y=-\frac{3}{2}x+2$.