Problem

Put in slope intercept form, then give the slope and $y$-intercept below \[ 6 x+8 y=-15 \] The slope is The $y$-intercept is

Solution

Step 1 :The given equation is \(6x + 8y = -15\).

Step 2 :We need to put this equation in slope-intercept form, which is \(y = mx + b\), where \(m\) is the slope and \(b\) is the y-intercept.

Step 3 :To do this, we isolate \(y\) on one side of the equation.

Step 4 :Doing so, we get \(y = -\frac{3}{4}x - \frac{15}{8}\).

Step 5 :From this, we can see that the slope \(m\) is \(-\frac{3}{4}\) and the y-intercept \(b\) is \(-\frac{15}{8}\).

Step 6 :Final Answer: The slope is \(\boxed{-\frac{3}{4}}\) and the y-intercept is \(\boxed{-\frac{15}{8}}\).

From Solvely APP
Source: https://solvelyapp.com/problems/nrBn9fpr53/

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