Answer:
18. y = -5
19. y = 4x-10
Step-by-step explanation:
Parallel lines have the same slope. You can find the slope from the equation y=mx+b. It is the m value.
For 19, the slope is 4 since y=4x has m = 4. To find a line parallel to it that crosses through the point (3,2), substitute m = 4 and (3,2) into the point slope formula.
[tex]y-y_1=m(x-x_1)\\y - 2 = 4(x-3)\\y-2 = 4x -12\\y = 4x - 10[/tex]
It simplifies to y = 4x - 10.
For equations like 18 where y = 8 there is no m value. There is no slope. This is a horizontal line through 8 on the y-axis. A parallel line is another horizontal line through the y value of (-6,-5). The line is written he same way as y = -5.
