Question

75 POINTS !!!!! URNGETNM EASY MATH PLEAS EIM CYRING I NEED NOW PLEAS ESOW ALL WORK AND EXPLAIN PLEASE

Write down the slope and the Y- intercept for the following equation, show the steps in converting the given equation in slope intercept form.
8x+4y=12

Answer 1

`y = -2x +3\\\rule{150}{0.5}\\\text{Slope: -2}\\\text{Y-Intercept: 3}`

Explanation:

We would have to convert the standard equation into slope-intercept form.

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Converting the equation into Slope-Intercept Form:

`8x + 4y = 12\\\rule{150}{0.5}\\8x - 8x + 4y = 12-8x\\\\4y = 12-8x\\\\4y = -8x + 12 \leftarrow \text{I switched the order on the right side.}\\\\(4y=-8x+12)/(4)\\\\\boxed{y = -2x + 3}`

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Identifying the Slope and Y-Intercept:

General slope-intercept form is:

`y=mx + b\\\rule{150}{0.5}\\\text{m - Slope}\\\text{b - Y-Intercept}`

In the equation
`y = -2x + 3`, '-2' would be the slope since it is in 'm's place, and '3' would be the y-intercept since it's in 'b's place.

Therefore:

`\text{In } y=-2x+3\text{...}\\\rule{150}{0.5}\\\text{Slope: -2}\\\text{Y-Intercept: 3}`

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Hope this helps!