SOLUTION: I really appreciate any help you can give me with this. I know it is a long question but it's very important that I get it done. Consider the function {{{4x+3y=12}}} a) Write t

Algebra ->  Graphs -> SOLUTION: I really appreciate any help you can give me with this. I know it is a long question but it's very important that I get it done. Consider the function {{{4x+3y=12}}} a) Write t      Log On


   

Question 314252: I really appreciate any help you can give me with this. I know it is a long question but it's very important that I get it done.
Consider the function 4x%2B3y=12
a) Write the equation in slope-intercept form.
b) The slope is________________.
c) The y-intercept is________________.
d) Graph the equation.
Thank you so much to anyone who helps me!
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
The slope-intercept form is: y = mx+b where m is the slope and b is the y-intercept, so...
4x%2B3y+=+12 Subtract 4x from both sides.
3y+=+-4x%2B12 Divide both sides by 3 to get y by itself.
a) highlight%28y+=+%28-4%2F3%29x%2B4%29 compare with the standard form...
y+=+mx%2Bb
The slope, highlight%28m+=+-4%2F3%29
The y-intercept, highlight%28b+=+4%29
d) The graph:
graph%28400%2C400%2C-5%2C5%2C-5%2C5%2C%28-4%2F3%29x%2B4%29