Question

Write an equation of the line in slope-intercept form that is parallel to the line y= -4 + 2 and passes through (2,4)

Answer 1

Explanation:

If the lines are parallel, it means that the slopes are the same. To write an equation in the slope intercept form, we need the slope and the y-intercept. We are given the slope. We need to find the y-intercept. We can use the slope and the point to help us. The point is written in the form (x,y). In this case the point is (2,4) so we will use 2 for x and 4 for y.

y = mx + b Plug in what we know

4 = -4(2) + b b is what we are looking for. It is the y-intercept

4 = -8 + b Now add 8 to both sides

12 = b

Now we can write the equation:

y = -4x +12