Question

Two lines are represented by the equations -1/2y=6x+10 and y=mx for which value of m will the lines be parallel

Answer 1

-12

Explanation:

So to start we need to know what makes a line parallel. In an equation we know that for lines to be parallel they must have the same slope(m).

Then, we need to know the slope-intercept form of an equation. The slope intercept form is
`y=mx+b` where
`m` is the slope of the line and
`b` is the y-intercept. In this problem where can see the second equation is already in this form.

Now that we know we need to find the slope, and we know that the second equation is in slope-intercept form we're going to convert the fist equation into the correct form.

To do this, we know we need to make sure
`y` is the only thing on the left side of the equal sign. Currently, on the left side of the equal sign we have
`-(1)/(2) y` so we have to divide both sides by
`-(1)/(2)` to get
`y=-12x -20`

Now that we have it converted to slope-intercept form, we are going to look for what represents the slope or
`m` in the equation. In this case the slope would be -12, so any line with a slope of -12 will be parallel.