SOLUTION: Find the slope. –9x + 8y = 22 Find the slope and y-intercept. –8x – 9y = 45

Algebra ->  Linear-equations -> SOLUTION: Find the slope. –9x + 8y = 22 Find the slope and y-intercept. –8x – 9y = 45       Log On


   

Question 112298: Find the slope. –9x + 8y = 22
Find the slope and y-intercept. –8x – 9y = 45
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)


-9x%2B8y=22 Start with the given equation


-9x%2B8y%2B9x=22%2B9x Add 9x to both sides


8y=9x%2B22 Simplify


%288y%29%2F%288%29=%289x%2B22%29%2F%288%29 Divide both sides by 8 to isolate y


y+=+%289x%29%2F%288%29%2B%2822%29%2F%288%29 Break up the fraction on the right hand side


y+=+%289%2F8%29x%2B11%2F4 Reduce and simplify


The original equation -9x%2B8y=22 (standard form) is equivalent to y+=+%289%2F8%29x%2B11%2F4 (slope-intercept form)


The equation y+=+%289%2F8%29x%2B11%2F4 is in the form y=mx%2Bb where m=9%2F8 is the slope and b=11%2F4 is the y intercept.







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)


-8x-9y=45 Start with the given equation


-8x-9y%2B8x=45%2B8x Add 8x to both sides


-9y=8x%2B45 Simplify


%28-9y%29%2F%28-9%29=%288x%2B45%29%2F%28-9%29 Divide both sides by -9 to isolate y


y+=+%288x%29%2F%28-9%29%2B%2845%29%2F%28-9%29 Break up the fraction on the right hand side


y+=+%28-8%2F9%29x-5 Reduce and simplify


The original equation -8x-9y=45 (standard form) is equivalent to y+=+%28-8%2F9%29x-5 (slope-intercept form)


The equation y+=+%28-8%2F9%29x-5 is in the form y=mx%2Bb where m=-8%2F9 is the slope and b=-5 is the y intercept.