SOLUTION: Find the slope and y-intercept. –5x + 10y = 70

Algebra ->  Graphs -> SOLUTION: Find the slope and y-intercept. –5x + 10y = 70       Log On


   

Question 114189: Find the slope and y-intercept.
–5x + 10y = 70
Found 2 solutions by jim_thompson5910, stanbon:
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Solved by pluggable solver: Converting Linear Equations in Standard form to Slope-Intercept Form (and vice versa)
Convert from standard form (Ax+By = C) to slope-intercept form (y = mx+b)


-5x%2B10y=70 Start with the given equation


-5x%2B10y%2B5x=70%2B5x Add 5x to both sides


10y=5x%2B70 Simplify


%2810y%29%2F%2810%29=%285x%2B70%29%2F%2810%29 Divide both sides by 10 to isolate y


y+=+%285x%29%2F%2810%29%2B%2870%29%2F%2810%29 Break up the fraction on the right hand side


y+=+%281%2F2%29x%2B7 Reduce and simplify


The original equation -5x%2B10y=70 (standard form) is equivalent to y+=+%281%2F2%29x%2B7 (slope-intercept form)


The equation y+=+%281%2F2%29x%2B7 is in the form y=mx%2Bb where m=1%2F2 is the slope and b=7 is the y intercept.

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Find the slope and y-intercept.
–5x + 10y = 70
--------------------------
Solve for y:
-x + 2y = 14
y = (1/2)x + 7
------------------
slope = 1/2
y-intercept = 7
==================
Cheers,
Stan H.