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

Question 113988: 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
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
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)

Convert from slope-intercept form (y = mx+b) to standard form (Ax+By = C)

Start with the given equation

Multiply both sides by the LCD 2

Distribute and multiply

Subtract 1x from both sides

Simplify

Multiply both sides by -1 to make the A coefficient positive (note: this step may be optional; it will depend on your teacher and/or textbook)

Distribute and simplify

The original equation (slope-intercept form) is equivalent to (standard form where A > 0)

The equation is in the form where , and

So the answer is B)
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