SOLUTION: Find an equation for a line passing through the point (0, 2) and parallel to the line 6x - 5y = 3. You may write your answer in any of the three forms--point-slope, slope-intercept

Algebra ->  Linear-equations -> SOLUTION: Find an equation for a line passing through the point (0, 2) and parallel to the line 6x - 5y = 3. You may write your answer in any of the three forms--point-slope, slope-intercept      Log On


   

Question 457172: Find an equation for a line passing through the point (0, 2) and parallel to the line 6x - 5y = 3. You may write your answer in any of the three forms--point-slope, slope-intercept, or standard form.
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
6 x -5 y = 3
Find the slope of this line
make y the subject
-5y=-6x+3
Divide by -5
y =1.2x-0.6
Compare this equation with y=mx+b
slope m = 1.2 0.8 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 ( 0 , 2 )
Find b by plugging the values of m & the point in
y=mx+b
2=b
b=2
m=0.8
Plug value of the slope and b in y = mx +b
The required equation is y =0.8x+2 (0.8=4/5)
y= 4/5x+2