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Slope of a graph?
how do I find the slope of 2x+3y-4=0? I can normally find it. But this is the first time I had a "y" int he equation...
Also, how do I get the Y intercept form this?
3 Answers
- 7 years agoFavorite Answer
You just have to isolate y :)
Start with the equation: 2x + 3y - 4 = 0
Add 4 to both sides: 2x + 3y = 4
Subtract 2x from both sides: 3y = 4 - 2x
Divide by 3 from both sides: y = (4/3) - (2/3)x -or- y = (-2/3)x + 4
The slope in this instance is then -2/3, and the y-intercept is 4.
- 7 years ago
The y intercept form is where you have y= what ever in this case it would be y=-2/3x+4/3
To find the slope you can get it from the y intercept form from the x portion of it in this case it is a -2/3 slope (2 down 3 right)
Source(s): Multiple years of algebra - Bob BLv 77 years ago
Convert the equation to slope-intercept form y = mx + b.
Add 4 to both sides:
2x + 3y = 4
Subtract 2x from both sides:
3y = -2x + 4
Divide through by 3:
y = (-2/3)x + 4/3
The slope is -2/3 (it falls by 2 units of y for each 3-unit increase in x) and crosses the y-axis at point (0, 4/3).
