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hammer [34]
3 years ago
11

A given line has the equation 10x + 2y = −2.

Mathematics
2 answers:
Kryger [21]3 years ago
8 0

Step 1

<u>Find the slope of the given line</u>

we have

10x+2y=-2

Isolate the variable y

Subtract 10x both sides

2y=-10x-2

Divide by 2 both sides

y=-5x-1

The slope of the given line is

m=-5

Step 2

Find the equation of the line that is parallel to the given line and passes through the point (0, 12)

we know that

If two lines are parallel. then their slope are equal

In this problem we have

m=-5

(0, 12)

The equation of the line into slope-intercept form is equal to

y=mx+b

substitute the values

12=-5*0+b

b=12

the equation of the line is

y=-5x+12

therefore

<u>the answer is</u>

y=-5x+12

Gekata [30.6K]3 years ago
7 0
Y = -5x + 12 since the slope of that line is -5x and in order to pass through that point the y intercept must be 12
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