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

Respuesta :

Answer:

Step-by-step 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