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 A.

Step-by-step explanation:

Slope intercept form of a line is

      .... (1)

where, m is slope and b is y-intercept.

The given equation is

Write this equation in slope intercept form to find the slope.

Divide both sides by 2.

     .... (2)

On comparing (1) and (2) we get m=1. It means the slope of the given line is -5.

Required line is parallel to the given line. We know that the slope of two parallel lines are same. So, the slope of required line must be -5.

Required line passes through the point (0,12). It means y-intercept of the required line is 12.

Substitute m=-5 and b=12 in equation (1) to find the equation of required line.

Therefore, the correct option is A.

is it 35

step-by-step explanation:

a. she will receive a refund of $278.

step-by-step explanation: