problem Help !!!

Question

Write the equation in slope-intercept form of the line that is parallel to the given line and passes through the point:

 

y = 3x + 6 goes through (4, 7)

Answer 1

y = 3x + 6 goes through (4, 7)

y = mx + b

m = 3

(x1, y1) = (4,7)

(y - y1) = m (x- x1)

y - 7 = 3 (x -4)

y - 7 = 3x -12

y = 3x - 5

Answer 2

Hi Armani P

Parallel lines have the same slope

Slope Intercept Form is

y = mx +b

The line y = 3x + 6 is already in slope intercept form

The slope m is 3

Since the parallel line passes through (4,7) we can use these coordinates to calculate b.

y = mx + b

7 = 3(4) + b

7 = 12 + b

Solve for b

7 - 12 = b

-5 = b

So our Parallel line is

y = 3x - 5

You can graph both lines at Desmos.com to check