Answer:
y = 2x - 1
Step-by-step explanation:
Given equation: 2x - y = 1
We're being asked to solve for y. This is also known as the Slope-Intercept Form. It is represented by the following formula:
y = mx + b
where:
- m is the slope
- b is the y-intercept (when x = 0)
Steps:
1. Subtract 2x from both sides:
[tex]\sf 2x-2x - y = 1-2x\\\\\implies-y=-2x+1[/tex]
2. Divide both sides by -1:
[tex]\sf \dfrac{-y}{-1}=\dfrac{-2x+1}{-1}\\\\\implies y=2x-1[/tex]
This equation has a slope of 2, and a y-intercept of -1.
Learn more about the Slope-Intercept Form here:
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