What is the slope of the line 6x + 8y = 12?

Solution:

Given equation of a line 6x + 8y =12

We have slope-intercept form y = mx + c where m is the slope and c is the intercept

To get in standard form, we must rearrange the terms

6x + 8y = 12 ⇒ 8y = 12 - 6x

Divide by ‘8’ on both sides

⇒ y = 12/8 - 6x/8

⇒ y = 3/2 - 3x/4

⇒ y = (-3/4)x + 3/2

Here, we have m= -3/4

Hence, the slope of the line is -3/4

What is the slope of the line 6x + 8y = 12?

Summary:

The slope of the line 6x + 8y = 12 is -3/4.