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

What is the equation, in slope-intercept form, of the line that is parallel to the given line and passes through the point (0, 12)?

y = (  )x + 12

Verified Answer :

bellahboo03

the answer is  3x-x+2=4

Answer:

y = (-5)x+12

Step-by-step explanation:

Since, the slope intercept form of a line is,

\(y=mx+c\)

Where, m is the slope of the line,

Here, the equation of the given line is,

\(10x+2y=-2\)

\(2y=-10x-2\)

\(y=-5x-1----(1)\)

By comparing,

The slope of the line (1) = -5,

We know that,

The slope of parallel line is same,

Thus, the slope of the line that is parallel to the line (1) is -5.

Hence, by comparing the parallel line with the slope intercept of a line,

The missing value in the given parallel line would be -5.

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