Question

Convert the following equation from standard form to slope intercept form
3x-8y=12

Answer 1

Explanation:

Slope = 0.750/2.000 = 0.375

x-intercept = -12/3 = -4

y-intercept = 12/8 = 3/2 = 1.50000

Answer 2

y=
`(3)/(8)x - (3)/(2)`

Explanation:

Hi there!

We are given the equation 3x-8y=12, and we want to convert it from standard form into slope intercept form

• Standard form is ax+by=c, which is the form that the equation is in right now
• Slope-intercept form is y=mx+b, where m is the slope and b is the y intercept, which is the form we want the equation to be in

In slope-intercept form, y is isolated on one side, while everything else is on the other side.

In other words, we'll need to solve for y in order to convert from standard to slope-intercept form

Start by subtracting 3x from both sides

3x-8y=12

-3x -3x

________

-8y = -3x + 12

Like any equation, we want just the value of y by itself. So divide both sides by -8

y=
`(-3)/(-8)x + (12)/(-8)`

You may simplify the equation;
`(-3)/(-8)` is the same as just
`(3)/(8)`.

You may divide by 4 on both the numerator and the denominator of
`(12)/(-8)`, to get
`(3)/(-2)` and then bring the minus sign up in front (
`-(3)/(2)`)

The equation will now be

y=
`(3)/(8)x + -(3)/(2)`, or y =
`(3)/(8)x - (3)/(2)`

Hope this helps!