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

fractions.
8x + 6y = -54

User Littlejon
by
8.1k points

2 Answers

4 votes

Answer:

y = - 4/3x - 9

Explanation:

User Amir Rasti
by
8.7k points
2 votes

Answer:


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.

User Mutanic
by
8.3k points

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