Instructions: Translate from one form to another. Standard Form: 5x+2y=125𝑥+2𝑦=12Slope-Intercept Form:

Question

Instructions: Translate from one form to another.

Standard Form:
$5x + 2y = 125$
$𝑥 + 2𝑦 = 12$

Slope-Intercept Form:

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Solution

The standard form of a linear equation is Ax + By = C, while the slope-intercept form is y = mx + b. To convert from standard form to slope-intercept form, you need to solve the equation for y.

Given the standard form equation 5x + 2y = 125, let's solve for y:

Step 1: Subtract 5x from both sides of the equation: 2y = -5x + 125

Step 2: Divide every term by 2 to solve for y: y = -5/2x + 125/2

So, the slope-intercept form of the equation 5x + 2y = 125 is y = -5/2x + 62.5.

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Instructions: Translate from one form to another. Standard Form: 5x+2y=125𝑥+2𝑦=12Slope-Intercept Form:

Question