Question

Fill in the blanks by creating the line parallel to y= -1/2x+7 that goes through (-2,3) in slope intercept form.

Answer 1

y =
`-(1)/(2)` x + 2

Explanation:

Two parallel lines share the same slope, so the slope of this parallel line will also be
`-(1)/(2)`.

Now, you'll have to find the y-intercept. But, to make sure your line also goes through the point (-2, 3), plug them into the x and y values:

y = mx + b

3 = (-1/2) (-2) + b

3 = 1 + b

b = 2

Now you can plug the y-intercept and slope into the slope-intercept formula:

y =
`-(1)/(2)` x + 2