Question

The equation of line EF is y = 2x + 1. Write an equation of a line parallel to line EF in slope-intercept form that contains point (0,2) @ganeshie8 @johnweldon1993

Answer 1

In order for a line to be parallel it must have the same slope. Therefore, the slope will be 2.
So we have y=2x+b
Given the point, plug in those x and y values and you'll get B, the y-intercept.

Answer 2

2 = 2(0) + b ?

Answer 3

"The equation of line EF is y = 2x + 1. Write an equation of a line parallel to line EF in slope-intercept form that contains point (0,2) "

Okay so use the formula y - y1 = m(x - x1)

Parallel lines have equal slopes. So m (slope) will be 2 in this, too.

So plug in your x-y points (0 , 2)

y - y1 = m(x - x1)
y - 2 = 2(x - 0) [because our slope is parallel, so 2 is m, y1 is our y-axis, so that's 2, and x1 is our x-axis, so that's 0.)

Now...

y - 2 = 2(x - 0) [[Distribute]]
y - 2 = 2x [2 * 0 just equals 0, so we leave it out and just have 2x.]

Now add 2 to both sides to solve for y.

y - 2 + 2 = 2x + 2
y = 2x + 2

And wala! There you go :)