SOLUTION: Write an equation of the given line containing the given point and parallel to the given line. express in the form y=mx+b Problem (-5,7);4x=5y+7 the equation of the line is

Algebra ->  Linear-equations -> SOLUTION: Write an equation of the given line containing the given point and parallel to the given line. express in the form y=mx+b Problem (-5,7);4x=5y+7 the equation of the line is       Log On


   



Question 436782: Write an equation of the given line containing the given point and parallel to the given line. express in the form y=mx+b
Problem (-5,7);4x=5y+7
the equation of the line is y=

Found 2 solutions by mananth, josmiceli:
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
4 x -5 y = 7
Find the slope of this line

-5 y = -4 x + 7 0.8
Divide by -5
y = 0.8 x + -1.4
Compare this equation with y=mx+b
slope m = 0.8

The slope of a line parallel to the above line will be the same

The slope of the required line will be 0.8

m=0.8 ,point(-5,7)
Find b by plugging the values of m & the point in
y=mx+b
7=-4.00+b
b=11
m=0.8
Plug value of the slope and b
The required equation isy=0.8x+11

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+4x+=+5y+%2B+7+
+5y+=+4x+-+7+
+y+=+%284%2F5%29%2Ax+-+7%2F5+
The slope is 4%2F5
The point slope formula is
+%28y+-+7%29+%2F+%28x+-%28-5%29%29+=+4%2F5+
+y+-+7+=+%284%2F5%29%2A%28x+%2B+5%29+
+5y+-+35+=+4x+%2B+20+
+5y+=+4x+%2B+55+
+y+=+%284%2F5%29%2Ax+%2B+11+
check answer:
(-5,7)
+7+=+%284%2F5%29%2A%28-5%29+%2B+11+
+7+=+-4+%2B+11+
+7+=+7+
OK