Question

Consider the line y=7x-3.
Find the equation of the line that is parallel to this line and passes through the point (8, 5).
Find the equation of the line that is perpendicular to this line and passes through the point (8, 5).

Answer 1

Answer:

1st question: y=7x-51

Step-by-step explanation:

So for the first question: *aHem*

You rewrite the equation to be 5=7*8+b. The reason why is because since it will be parellel it will have the same slope, and those coordinates that you gave me I just plugged into equation.

Solve equation: 7*8=56 so now it's 5=56+b. Subtract 56 from both sides. -51=b

Rewrite again into y=7x-51. The reason why is because b means y intercept and you are looking for where to start (y-intercept) and keeping the same slope. Parallel means never touching.