Instructions: Translate from one form to another. Slope-Intercept Form: y=−2x+5𝑦=−2𝑥+5Standard Form: CheckQuestion 6
Question
Translate from Slope-Intercept Form to Standard Form
Given the Slope-Intercept Form:
y = -2x + 5
Convert to Standard Form.
Solution
The given equation is in slope-intercept form (y = mx + b), where m is the slope and b is the y-intercept. The equation is y = -2x + 5.
To convert this to standard form (Ax + By = C), we want to get rid of any fractions and move the terms involving x and y to the left side of the equation.
Step 1: Start with the given equation y = -2x + 5
Step 2: Move the x term to the left side of the equation by adding 2x to both sides 2x + y = 5
So, the standard form of the equation is 2x + y = 5.
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