SOLUTION: Find the equation for the line with slope 1/2 and y intercept 3. Possible answers: A. x/2-y=3; B. -x+2y=6; C. x+2y=6; D. 2x-y=3

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If we have a y intercept of 3, then the line goes through (0,3)



If you want to find the equation of line with a given a slope of which goes through the point (,), you can simply use the point-slope formula to find the equation:


---Point-Slope Formula---
where is the slope, and is the given point

So lets use the Point-Slope Formula to find the equation of the line

Plug in , , and (these values are given)


Distribute

Multiply and to get

Add 3 to both sides to isolate y

Combine like terms and to get

Now let's convert to standard form

Solved by pluggable solver: Converting Linear Equations in Standard form to Slope-Intercept Form (and vice versa)

Start with the given equation Subtract from both sides Rearrange Multiply both sides by 2 Distribute Multiply Reduce Now the equation is in standard form where , , and

So the answer is B)