SOLUTION: Find the equation of the line that passes though (2,5) and is parallel to 4x-y=7. Write the equation in slope-intercept form.
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Question 1026202: Find the equation of the line that passes though (2,5) and is parallel to 4x-y=7. Write the equation in slope-intercept form. Answer by mananth(16946) (Show Source):
You can put this solution on YOUR website! 4 x -1 y = 7
Find the slope of this line
make y the subject
-1 y = -4 x + 7
Divide by -1
y = 4 x -7
Compare this equation with y=mx+b
slope m = 4
The slope of a line parallel to the above line will be the same
The slope of the required line will be 4
m= 4 ,point ( 2 , 5 )
Find b by plugging the values of m & the point in
y=mx+b
5 = 8 + b
b= -3
m= 4
Plug value of the slope and b in y = mx +b
The required equation is y = 4 x -3
