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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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X^2 + y^2 = 25 <br> x^2 + y^2 = 19
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Read 2 more answers
The sum of the measures of angle Y and angle Z is 180 degrees. Angle Y measures (3x + 20) degrees and Angle Z measures x degrees
Minchanka [31]
A)
The question tells us that
y + z = 180
And
y=3x+20
z=x

So we put them in the first formula:

y + z = 180
(3x + 20) + x = 180

Add and get x to one side:
4x + 20 = 180
4x + 20 - 20 = 180-20
4x = 160
Divide both sides by 4
x = 40

B)
Put x back in to equation to get size of each angle:

Y =3x +20
Y=3(40)+20
Y=120+20
Y=140

Z=x
Z=40

Verify: y+z=180
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