Problem

Question 13 - of 16 Step 1 of 2 Consider the following equation. \[ 7 x+8 y=5 y-2 \] Step 1 of 2: Express the given equation in slope-intercept form. Simplify your answer. Answer 2 Points

Solution

Step 1 :Consider the following equation: \(7x + 8y = 5y - 2\).

Step 2 :The slope-intercept form of a linear equation is \(y = mx + b\), where \(m\) is the slope and \(b\) is the y-intercept. To express the given equation in this form, we need to isolate \(y\) on one side of the equation.

Step 3 :The equation in slope-intercept form is \(\boxed{y = -\frac{7}{3}x - \frac{2}{3}}\).

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