Question

how do you write an equation in slope intercept form for the line that satisfies each set of conditions.

Find a line that passes through (-4,2) parallel to the line whose equation is y=1/2x+5

Answer 1

y=1/2x+4

Answer 2

how did you do that?

Answer 3

It is parallel to y = 1/2x+5. Parallel lines have the same slope.
So our new equation is y = 1/2x + b ---I say b because we don't know b yet
Now, we just have to put in the -4 x and 2 for y, because this is one point
y = 1/2x + b
(2) = 1/2(-4) + b
2= -4/2 + b
2 = -2 + b
4 = b.

Now we put in 4 for b, and we have our equation of a line!
y = 1/2x + b
y = 1/2x + 4

Wala!

Answer 4

Thank you so much!

Answer 5

No problem. Glad to help.