Question

Which equation describes a line that passes through the point (-6, 2) and is parallel to

the line represented by 2y - 4x = 10?
Anyone know??

Answer 1

y = 2x +14

Explanation:

2y - 4x = 10

=> 2y = 4x + 10

=> y = 2x + 5

↑ the slope of this equation

parallel lines have the same slope, thus, the equation in the 4 options must have the same slope: 2.

plug in point (-6, 2) & the slope "2" into the equation: y = ax + b to find "b."

=> 2 = -6(2) + b

=> b = 14

plug in the slope "2" and the y-intercept(or b) "14" into the equation: y = ax + b

=> y = 2x +14