Question

Put the following equation of a line into slope-intercept form, simplifying all

fractions.
8x + 6y = -54

Answer 1

y = - 4/3x - 9

Explanation:

Answer 2

`y = -(4)/(3)x - 9`

Explanation:

The standard form of linear equation is: Ax + By = C, where A, B, and C are integers; A and B ≠ 0, and A is a non-negative integer.

Given the linear equation in standard form, 8x + 6y = -54, we can transform this equation into its slope-intercept form, y = mx + b.

First, subtract 8x from both sides:

8x + 6y = - 54

8x - 8x + 6y = - 8x - 54

6y = -8x - 54

Divide both sides by 6 to isolate y:

`(6y)/(6) = (-8x - 54)/(6)`

`y = -(4)/(3)x - 9` ⇒ This is the slope-intercept form where the slope, m =
`- (4)/(3)`, and the y-intercept, b = -9.