SOLUTION: Given the linear equation y=4x-2 a. Give the line, in slope-intercept form, that is parallel to this line and passes through the point (-1,3)

Algebra ->  Linear-equations -> SOLUTION: Given the linear equation y=4x-2 a. Give the line, in slope-intercept form, that is parallel to this line and passes through the point (-1,3)       Log On


   

Question 546410: Given the linear equation y=4x-2
a. Give the line, in slope-intercept form, that is parallel to this line and passes through the point (-1,3)

Answer by brainyy(1) About Me  (Show Source):
You can put this solution on YOUR website!
the slope intercept form, is y=mx+b
Since the new line is parallel to the original line, the slope stays the same. (4)
You plug this slope (4) in for m in the equation.
y=(4)x+b
then you plug in your given point that the line passes through:
(3)=4(-1)+b
simplify:
3=-4+b
you need to figure out what value of B will make this equation true.
if you add 4 to both sides, you get:
7=b
You plug be into your equation from before:
ANSWER:
Y=4x+7
:)