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crimeas [40]
3 years ago
8

Write the equation of the line with a slope of 1/2 that passes through the point (-6,10)​

Mathematics
1 answer:
Katen [24]3 years ago
7 0

Answer:

An equation is

y =  \frac{1}{2} x + 13

.

Step-by-step explanation:

☆Since since we're given the slope, all we need to do is find the y-intercept.

☆The slope-intercept formula is: y = mx + b.

☆We are going to plug in according to the formula.

y = mx + b \\  \\ 10 =  \frac{1}{2} ( - 6) + b \\ 10 =  - 3 + b \\  \frac{ + 3 =  + 3 \:  \:  \:  \:  \:  \:  \:  \:  \: }{13 = b \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \: }

☆We have everything we need, so now we put it together.

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3 years ago
Solve the system by substitution.<br> x + 6y = -2<br> -x= 3y - 10
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Answer:

x = 22, y = -4

Step-by-step explanation:

x + 6y = -2 --- Equation 1

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Substitute x = -3y + 10 into Equation 1:

x + 6y = -2

-3y + 10 + 6y = -2

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3y = -2-10

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Substitute y = -4 into Equation 3:

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x = -3(-4) + 10

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x = 22

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