Write the equation of the line parallel to y+4= 1/4(x+5) and passing through the point (8, 20). Write in the format y = mx + b

Question

asked Mar 23, 2021 184k views

1 Answer

Grant McLean · Answer 1 · 2021-03-30T07:05:23+0000

Answer:

y=0.25x+18

Explanation:

So first we take the equation we are given and write it in slope-intercept form (y = mx + b):

$y+4= (1)/(4) (x+5)\\\\y+4=0.25x +1.25\\\\y=0.25x-2.75$

Now we know parallel lines have the same slope, so the line we are looking for has a slope of 0.25.

so we can start to set up our equation:

y=0.25x+b

and then substitue in the point (8,20) to find the y-intercept.

$20=0.25(8)+b\\20=2+b\\b=18$

So now we have our equation:

y=0.25x+18

Hope this helps!