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How would I solve this -3x+4y=8 what steps would I take to solve this and graph it?
Solution
-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.

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How would I solve this -3x+4y=8 what steps would I take to solve thi.pdf

  • 1. How would I solve this -3x+4y=8 what steps would I take to solve this and graph it? Solution -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
  • 2. (0,2) is the y-intercept.