Respuesta :
standard form : Ax + By = C
slope intercept form : y = mx + b
example :
2x + 3y = 10....we want the 3y term by itself...so subtract 2x from both sides
3y = -2x + 10 .....now we have to divide both sides by 3 to get y alone
y = (-2/3)x + 10/3 <== slope intercept form...u dont need the parenthesis in there, I was just showing u that I divided by 3
another one..
-4x + 5y = 9.....got to get 5y by itself....this time we add 4x
5y = 4x + 9...now divide both sides by 5 to get y alone
y = 4/5x + 9/5
slope intercept form : y = mx + b
example :
2x + 3y = 10....we want the 3y term by itself...so subtract 2x from both sides
3y = -2x + 10 .....now we have to divide both sides by 3 to get y alone
y = (-2/3)x + 10/3 <== slope intercept form...u dont need the parenthesis in there, I was just showing u that I divided by 3
another one..
-4x + 5y = 9.....got to get 5y by itself....this time we add 4x
5y = 4x + 9...now divide both sides by 5 to get y alone
y = 4/5x + 9/5
standard form: ax + by = c
slope intercept form: y = mx + b
For example, let ax + by + c equal 10x + 5y = 20
Isolate the y. Note the equal sign. What you do to one side, you do to the other.
Subtract 10x from both sides
10x (-10x) + 5y = (-10x) + 20
5y = -10x + 20
Next, to isolate the y, divide 5 from all terms
5y/5 = (-10x + 20)/5
y = -2x + 4
y = -2x + 4 is your slope intercept form.
hope this helps