Find the equation of the line that is parallel to the given line and passes through the given point.

Question

y=5(x+4);(1/2,1/2)

The equation is y=

Answer 1

y= 5(x+4)

y= 5x+ 20

from the equation you know that slope of the given line m1= 5

parallel lines have equal slopes so m1=m2=5

and you have a point given

You can write the equation using point slope form

y-y1 = m(x -x1) where m is the slope and (x1,y1) is the given point

Then distribute m, rearrange the constants, so you have only y term on the left hand side of the equation

That would be equation in slope intercept form

y = mx+ b

Hope this helps