Question

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

Answer 1

Answer:

Step-by-step explanation:

 Slope = 0.750/2.000 = 0.375

 x-intercept = -12/3 = -4

 y-intercept = 12/8 = 3/2 = 1.50000

Answer 2

Answer:

y=$\frac{3}{8}x - \frac{3}{2}$

Step-by-step 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=$\frac{-3}{-8}x + \frac{12}{-8}$

You may simplify the equation; $\frac{-3}{-8}$ is the same as just $\frac{3}{8}$.

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

The equation will now be

y=$\frac{3}{8}x + -\frac{3}{2}$, or y = $\frac{3}{8}x - \frac{3}{2}$

Hope this helps!