How Do You Change From Slope-intercept Form To Standard Form?

Question

How Do You Change From Slope-intercept Form To Standard Form?

4 Answers

Answer Question

Answer 1

Where a, b, and c are integers.

Slope-intercept form has
y = mx + b

To convert slope-intercept form to standard form, subtract mx from both sides of the equation.
-mx + y = b

If m is a fraction, multiply the equation by its denominator.

Example
y = 2/3x + 6 (slope-intercept form)
-2/3x + y = 6 (after the subtraction of 2/3x)
-2x + 3y = 18 (standard form, after multiplication by 3)

Answer 2

Oddman answered

Standard form has
ax + by = c, where a, b, and c are integers.

Slope-intercept form has
y = mx + b

To convert slope-intercept form to standard form, subtract mx from both sides of the equation.
-mx + y = b

If m is a fraction, multiply the equation by its denominator.

Example
y = 2/3x + 6    (slope-intercept form)
-2/3x + y = 6    (after the subtraction of 2/3x)
-2x + 3y = 18    (standard form, after multiplication by 3)

Answer 3

Ok so let's start out easy. The problem is y=5-3X. In this equation, you simply add 3x to each side.
Y+3x=5.
Now we get a little bit harder.
Y=3x-9. First, you can subtract 3x from each side.
-3x+y=9. To get the real standard form, you multiply each side by -1.
So, 3x-1y=9. That's your standard form.

Answer 4

Slope intercept form is
y = mx + b
Standard form is
ax + by = c
where the leading coefficient (a) is positive. The coefficients a, b, and c are relatively prime integers.

To get from slope-intercept form to standard form you can subtract y+b from both sides. This will give you
-b = mx - y
You can rearrange this to
mx - y = -b
Multiply by the least common denominator of m and b, and multiply by -1 if m is negative. Divide any common factors from all of the coefficients.