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belka [17]
3 years ago
15

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

Mathematics
1 answer:
Misha Larkins [42]3 years ago
4 0

Answer:

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

                   

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Answer:

Simplifying

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Reorder the terms:

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Solving

7 + 9x = -3 + 5x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-5x' to each side of the equation.

7 + 9x + -5x = -3 + 5x + -5x

Combine like terms: 9x + -5x = 4x

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Combine like terms: 5x + -5x = 0

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7 + -7 + 4x = -3 + -7

Combine like terms: 7 + -7 = 0

0 + 4x = -3 + -7

4x = -3 + -7

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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