Problem

Find the slope and the $y$-intercept of the line with the given equation. \[ -2 x-8 y=5 \] slope $y$-intercept $\quad(x, y)=(4)$ Need Help? Read It Master It Submit Answer

Solution

Step 1 :Given the equation -2x - 8y = 5, we need to find the slope and the y-intercept of the line.

Step 2 :To isolate y on one side of the equation, we need to divide every term by -8. This will give us the equation in the form y = mx + b.

Step 3 :Doing this, we get the equation as y = -x/4 - 5/8.

Step 4 :The equation is now in the form y = mx + b, where m is the slope and b is the y-intercept.

Step 5 :From the equation, we can see that the slope m is -1/4 and the y-intercept b is -5/8.

Step 6 :Final Answer: The slope of the line is -1/4 and the y-intercept is -5/8. So, the final answer is \(\boxed{-1/4, -5/8}\).

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Source: https://solvelyapp.com/problems/UyMhtzwbev/

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