Question

Consider the line y=9x-8

find the equation of the line that is parallel to this line and passes through the point (-8,3)

Answer 1

y=9x+75

Explanation:

since we know that the slope must be the same for two lines to be proportional, we are gonna start there.

so our equation is: y= 9x + b

we need to find b to complete our equation, so substitute in the points we were given.

3 = 9(-8) + b

so now,

3 = -72 + b

now we have to isolate b to find out what it is,

3 = -72 + b

+72 +72

so now: 75= b

Put that back into the starting equation: y = 9x + 75