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

Answer

Expert–verified
Hide Steps
Answer

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

Steps

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 \(\boxed{-\frac{15}{8}}\).

link_gpt