SOLUTION: use the given conditions to write an equation for the line in point slope form and slope intercept form passing through (-1,3) and parallel to the line whose equation is 2x-3y=7

Question 799967: use the given conditions to write an equation for the line in point slope form and slope intercept form
passing through (-1,3) and parallel to the line whose equation is 2x-3y=7
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
2 x -3 y = 7
Find the slope of this line
make y the subject
-3 y = -2 x + 7
Divide by -3
y = 2/3 x -2 1/3
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 = 2/3 x + 11/ 3

m.ananth@hotmail.ca

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