Write an equation of the line parallel to the one described by given equation that passes through the given point. parallel to y+x=3 through the point (−12,0) me! you!

The equation of this line is y = -x - 12

Step-by-step explanation:

In order to find the equation of the line, we first have to solve the first equation for y. Once we do that, we will have the slope.

y + x = 3

y = -x + 3

Now we can see the slope is -1. Since they are parallel lines, we know that the slope is also -1. Which means we can use the slope and the point in point-slope form to find the equation.

y - y1 = m(x - x1)

y - 0 = -1(x - -12)

y = -1(x + 12)

y = -x - 12

let's solve your equation step-by-step.

4x+2=2x+12

step 1: subtract 2x from both sides.

4x+2−2x=2x+12−2x

2x+2=12

step 2: subtract 2 from both sides.

2x+2−2=12−2

2x=10

step 3: divide both sides by 2.

2x

2

=

10

2

x=5

step-by-step explanation: