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.Com
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)   (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
:)

RELATED QUESTIONS

Given the linear equation y=4x-2 Give the line, in slope-intercept form, that is... (answered by mananth)
write an equation in slope-intercept form for a line that passes through the given point... (answered by tutorcecilia)
write an equation in slope-intercept form for a line that passes through the given point... (answered by MRperkins)
write an equation in slope-intercept form for a line that passes through the given point... (answered by Fombitz)
write an equation in slope-intercept form for a line that passes through the given point... (answered by drk)
write an equation in slope-intercept form for a line that passes through the given point... (answered by Maths68)
Write in slope-intercept form the equation of a line that is parallel to the line... (answered by TimothyLamb)
Use the point-slope form linear equation given to complete problems 5-18 Y- 3 = 3(x +... (answered by solver91311)
I don't understand this. write an equation in slope-intercept form of the line that... (answered by nyc_function)