SOLUTION: 7x-5y=1 solve for x solve for y and find the intercept for x&y and the slope

Algebra ->  Points-lines-and-rays -> SOLUTION: 7x-5y=1 solve for x solve for y and find the intercept for x&y and the slope      Log On


   



Question 199137: 7x-5y=1
solve for x
solve for y
and find the intercept for x&y
and the slope

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
7x-5y=1
:
solve for x
Add 5y to both sides
7x = 5y + 1
Divide both sides by 7
x = 5%2F7y + 1%2F7
:
solve for y
subtract 7x from both sides
-5y = -7x + 1
Multiply both sides by -1 to get a positive y
5y = 7x - 1
Divide both sides by 5
y = 7%2F5x - 1%2F5
:
and find the intercept for x&y
x intercept occurs when y = 0
x = 5%2F7(0) + 1%2F7
x = 0 + 1%2F7
x intercept = 1%2F7
:
Y intercept occurs when x = 0
y = 7%2F5(0) - 1%2F5
y intercept =-1%2F5
;
and the slope
use the slope intercept form which is: y = mx + b:
y = 7%2F5x - 1%2F5
m = 7%2F5 is the slope
;
;
a graphical illustration will help it make sense to you
+graph%28+300%2C+200%2C+-4%2C+4%2C+-2%2C+2%2C+%287%2F5%29x-.2%29+
Note the graph intercepts the x axis at 1/7 and intercepts the y axis at -1/5