SOLUTION: What is the slope of the line representing the following equation? 3y-4x=2 A. 4/3 B. -3/5 C. 1/8 D. -4/7

Algebra ->  Graphs -> SOLUTION: What is the slope of the line representing the following equation? 3y-4x=2 A. 4/3 B. -3/5 C. 1/8 D. -4/7       Log On


   

Question 87189: What is the slope of the line representing the following equation?
3y-4x=2
A. 4/3
B. -3/5
C. 1/8
D. -4/7
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)


-4x%2B3y=2 Start with the given equation


-4x%2B3y%2B4x=2%2B4x Add 4x to both sides


3y=4x%2B2 Simplify


%283y%29%2F%283%29=%284x%2B2%29%2F%283%29 Divide both sides by 3 to isolate y


y+=+%284x%29%2F%283%29%2B%282%29%2F%283%29 Break up the fraction on the right hand side


y+=+%284%2F3%29x%2B2%2F3 Reduce and simplify


The original equation -4x%2B3y=2 (standard form) is equivalent to y+=+%284%2F3%29x%2B2%2F3 (slope-intercept form)


The equation y+=+%284%2F3%29x%2B2%2F3 is in the form y=mx%2Bb where m=4%2F3 is the slope and b=2%2F3 is the y intercept.





So the slope is 4%2F3