how to write y=3x+6;(4,7) in intercept form of the line that is parallel

Question

graph of each equation and passes through given point

Answer 1

Hello Destiny,

The line y=3x+6 has a slope of 3. Since the line you are looking for is parallel, it also has a slope of 3.

For the new line, you now know the slope and a point on the line, so you can use the point-slope formula, which is (y-y1) = m(x-x1), where m is the slope and (x1, y1) are the coordinates for the point.

Once you plug your values into the formula, solve for y and you have your answer in slope-intercept form (y = mx + b). Hope this helps.

-Andre`