What is the slope-intercept form of a linear equation that passes through (-3,7) and is parallel to the equation y=2x+5

The answer to  your question is  y = 2x + 13

Step-by-step explanation:

Data

Point ( -3, 7)

Parallel to   y = 2x + 5

Process

1.- Find the slope of the new line

If two lines are parallel, they have the same slope.

The slope of the line given is "2", so the new line has the same slope.

2.- Substitute the date in the formula

                   y - y₁ = m(x - x₁)

                   y - 7 = 2(x + 3)

Expland

                   y - 7 = 2x + 6

Simplify

                   y = 2x + 6 + 7

                   y = 2x + 13