Question

Please help!

Write an equation passing through the point and parallel to the given line

(4,7); y = 3x + 6

Thank you!

Answer 1

y = 3x - 5

Explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 3x + 6 ← is in slope- intercept form

with slope m = 3

Parallel lines have equal slopes, thus

y = 3x + c ← is the partial equation

To find c substitute (4, 7) into the partial equation

7 = 12 + c ⇒ c = 7 - 12 = - 5

y = 3x - 5 ← equation of parallel line

Answer 2

Explanation:

y=3x+6

slope is 3, so y=3x+[unknown].

We insert the point (4,7) into the equation.

7=3*4+[unknown]

7=12+[-5]

so the answer is

y=3x-5