Question

The equation of line AB is y 5x+ 1. Write an equation of a line paraliei to line AB in slope-intercept form that contains point (4, 5)

Answer 1

Answer:

The equation would be y = 5x - 15

Step-by-step explanation:

To find the equation to this line, we first have to note that parallel lines have the same slope. Since the original line has a slope of 5, we know that the new line will also have that slope. Then we can use the slope and the point in point-slope form and solve for y.

y - y1 = m(x - x1)

y - 5 = 5(x - 4)

y - 5 = 5x - 20

y = 5x - 15

Answer 2

Your equation is already in the slope-intercept form $y = mx+q$.

So, the slope of your line is 5.

Parallel lines have the same slope, so our unknown line has slope 5 as well.

Now use the slope-point formula to find the equation of the unknown line:

$y-5 = 5(x-4) \iff y-5 = 5x-20 \iff y = 5x-15$