Question

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

Answer 1

the answer is 3x-x+2=4

Answer 2

y = (-5)x+12

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.