177k views
3 votes
What is the slope-intercept form of a linear equation that passes through (-3,7) and is parallel to the equation y=2x+5

User Adam Puza
by
5.2k points

1 Answer

2 votes

Answer:

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

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

User Sheel
by
4.9k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.