Write an equation of a line with the given characteristics. Please show all work needed. Thank you.

Question

The line is parallel to the graph of y=3x-5 and contains (1,-4)

Answer 1

y = 3x - 5

 

any line parallel to this line will also have a slope of 3

 

we use y = mx + b, we have m=3, and point (1,-4)

 

-4 = 3(1) + b

 

-4 - 3 = b = -7

 

so,

 

y = 3x - 7