Question

write an equation that is the slope-intercept form of the equation of the line that passes through (1,2) and is parallel to 4x-2y=6

Answer 1

y=2x

Explanation:

If the line is parallel to 4x-2y=6, it means that it has the same slope. So let's first find the slope.

Rearranging, we get

-2y=-4x+6

2y=4x-6

y=2x-3.

So, the slope is 2.

Next, we can use the point slope formula

y-y_1=m(x-x_1)

Substituting, we get

y-2=2(x-1)

y-2=2x-2

y=2x