Question

Write an equation for the line that passes through the point -3,2 and is parallel to line 4X + 2Y= -10

Answer 1

9514 1404 393

Answer:

2x +y = -4

Explanation:

The equation of the given line can be simplified by dividing all of the numbers by 2:

2x +y = -5

The parallel line can have the same coefficients of x and y, but will have a different constant. The constant will be appropriate to the given point, so will be ...

2x +y = constant

2(-3) +(2) = constant = -6 +2 = -4

The parallel line is ...

2x +y = -4