Question

what is the equation of the line that passes through the point (7,3) and is parallel to the line 4x+2y=10

Answer 1

y = -2x + 17

Explanation:

Parallel lines have the same slope. The slope of the line 4x + 2y = 10 is -2 since 4x + 2y = 10 converts to y = -2x + 5.

Substitute the slope m = -2 and the point (7,3) into the point slope form of a line to write its equation.

`y-y_1 = m(x-x_1)\\y - 3 = -2(x - 7)\\y-3 = -2x + 14\\y = -2x + 17`