Question

Write an equation for the line parallel to y = 6x + 14 that contains P(9, 1).

Answer 1

Answer:

y= 6x-53

Step-by-step explanation:

We know that parallel lines have the same slope. So, this line will also have a slope of 6.

We now have: y=6x+b

We need to find b. One way to this is to plug the coordinates of point P(9, 1).

We plug in 9 for x and 1 for y to solve for b:

1=6(9)+b

1=54+b

b=-53

So now we have the equation: y=6x-53