Search 72,501 tutors FIND TUTORS
Search for tutors
Ask a question
0 0

How would I solve this -3x+4y=8

Tutors, please sign in to answer this question.

1 Answer

Hi Jen;
-3x+4y=8
 
To convert this into a graphing equation, we must use the format of...
y=mx+b
m=slope
b=y-intercept
 
-3x+4y=8
Let's isolate y.
We will begin by adding 3x to both sides...
3x-3x+4y=8+3x
4y=8+3x
or
4y=3x+8
We will now divide both sides by four...
(4y)/4=((3x)/4)+8/4
Simplify...
y=((3/4)(x))+2
 
The slope of the line is 3/4...
Slope= (y2-y1)/(x2-x1)
This means that as the y-coordinators change by 3 units, the x=coordinates change by 4.
Let's plug in a few numbers...
x=4-------y=((3/4)(4))+2=3+2=5
x=8-------y=((3/4)(8))+2=6+2=8
x=12----y=((3/4)(12))+2=9+2=11
 
The y-intercept is the position of y when x=0...
y=(3/4x)+2
y=((3/4)(0))+2
y=2
 
(0,2) is the y-intercept.