Agiven 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--5x+12
5x+y=12
y-12=5(x-0)
5x+y=-1

Option 1 -                              

Step-by-step explanation:

Given : A given line has the equation

To find : 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)?

Solution :  

The slope intercept form is

where, m is the slope and c is the y-intercept.

Writing given equation in slope intercept form,

Equation

Take x to another side,

Divide both side by 2,

The slope intercept form of the equation is

Where, m=-5 is the slope and c=-1 is the y-intercept.

When two lines are parallel their slopes are equal i.e.

Let the equation be

As lines are parallel then m=-5

We have given lines passes through point (0,12).

Substitute in equation,

Substitute back in equation,

Therefore, The required equation is

So, Option 1 is correct.

step-by-step explanation: