Question

What is the equation of a line through the point (2,3) and is parallel to y=4x-1

Answer 1

Answer:

The equation of this line would be y = 4x - 5

Step-by-step explanation:

In order to find this equation we must first find the slope of the original line. The original slope (the coefficient of x) is 4, which means the new slope will also be 4 because parallel lines have the same slope. Now, we can use this slope along with the point in point-slope form to find the equation of the line.

y - y1 = m(x - x1)

y - 3 = 4(x - 2)

y - 3 = 4x - 8

y = 4x - 5