Question

The equationoflinevis y + 10 = 2 3 ( x – 8 ) . line w , which is parallel to line v , includes the point (6, -5) . what is the equation of line w ?

Answer 1

You know that if 2 lines are parallel, they have the same slope.

First, find the slope of the given line;

y+10 = 23(x-8)
y=23x-184-10
y=23x-194

Slope is 23

Write out the basic format;

y=mx+c
y=23x+c <--- replace x and y values here
-5=23(6)+c
-5-138=c
-143=c

Therefore, this equation would be y=23x-143

Hope I helped :)