Question

Find an equation of the line through (3,8) and parallel to y = 4x - 3.

Answer 1

Answer: y=4x-4

Step-by-step explanation:

To find the equation fo the line parallel to the given line, we can use the given point to find the y-intercept. We know that the slope must stay the same because parallel lines NEVER touch or cross. This means that the slope MUST be the same.

y=4x+b

We can use the given point to find the y-intercept.

8=4(3)+b             [multiply]

8=12+b                [subtract both sides by 12]

b=-4

Now that we have found the y-intercept, we can complete the equation.

y=4x-4