Find an equation for the line parallel to y=4x-7 with? y-intercept (0,2). Write the answer in? slope-intercept form.

Question

need help!

Answer 1

Hi Amber  :)

 

Remember that parallel lines have the same slope.  So, in the equation y=4x-7, the slope is 4.  Recall that in an equation of the form y=mx+b, the m is the slope and the b is the y-intercept.  So, since the slope is 4 and the lines are parallel, the equation you need to write will also have a slope (or m) of 4.  It says the y-intercept is (0,2), which means that the b in your equation is 2.  So, you just need to put the equation together now.

 

The form is y=mx+b where m=slope and b=y-intercept.  You know the slope is 4 and the y-intercept is 2.  Just plug those values into the equation and you're all set.

Answer 2

The slope-intercept form of the equation of a line looks like:  y = mx + b

          where  m = slope and (0,b) is the y-intercept.

 

The line y=4x-7 is given in slope-intercept form.

 

All lines parallel to this one have the same slope (m=4).  The one with y-intercept (0,2) has the equation:

            y = 4x + 2