SOLUTION: Hi! what is the y-intercept of 3x-y=7? thanks!

Algebra ->  Graphs -> SOLUTION: Hi! what is the y-intercept of 3x-y=7? thanks!      Log On


   

Question 109387This question is from textbook algebra2 with trigonometry
: Hi! what is the y-intercept of 3x-y=7? thanks! This question is from textbook algebra2 with trigonometry

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)


3x-1y=7 Start with the given equation


3x-1y-3x=7-3x Subtract 3x from both sides


-1y=-3x%2B7 Simplify


%28-1y%29%2F%28-1%29=%28-3x%2B7%29%2F%28-1%29 Divide both sides by -1 to isolate y


y+=+%28-3x%29%2F%28-1%29%2B%287%29%2F%28-1%29 Break up the fraction on the right hand side


y+=+3x-7 Reduce and simplify


The original equation 3x-1y=7 (standard form) is equivalent to y+=+3x-7 (slope-intercept form)


The equation y+=+3x-7 is in the form y=mx%2Bb where m=3 is the slope and b=-7 is the y intercept.