SOLUTION: 1.What is the y-coordinate of the graph of y=-7x+1 intercect the y-axis? what is the equation of the line with integral coefficient whose graph passes through (1,-3) and is para

Question 633933: 1.What is the y-coordinate of the graph of y=-7x+1 intercect the y-axis?
what is the equation of the line with integral coefficient whose graph passes through (1,-3) and is parallel to 3y-2x=6
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
(0,1)
y coordinate =1

-2 x + 3 y = 6
Find the slope of this line
make y the subject
3 y = 2 x + 6
Divide by 3
y = 2/3 x + 2
Compare this equation with y=mx+b
slope m = 2/3
The slope of a line parallel to the above line will be the same
The slope of the required line will be 2/3
m= 2/3 ,point ( 1 , -3 )
Find b by plugging the values of m & the point in
y=mx+b
-3 = 2/ 3 + b
b= -11/3
m= 2/3
Plug value of the slope and b in y = mx +b
The required equation is y = 2/3x-11/ 3
multiply equation by 3
3y=2x-11
2x-3y=11

m.ananth@hotmail.ca

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