What is the equation of a line in general form that passes through points (- 1 2 and 5 2 )? Y 2 0?

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Oregon State University

Peter D.

Algebra

9 months ago

We don’t have your requested question, but here is a suggested video that might help.

What is an equation of the line through $\left(\frac{1}{2},-\frac{3}{2}\right)$ and $\left(-\frac{1}{2}, \frac{1}{2}\right) ?$ A. $y=-2 x-\frac{1}{2}$ B. $y=-3 x$ C. $y=2 x-\frac{5}{2}$ D. $y=\frac{1}{2} x+1$

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A or B can be zero, but not both at the same time.

The General Form is not always the most useful form, and you may prefer to use:

We are heading for:

y = mx + b

Start with:4x − 2y − 5 = 0

Move all except y to the right:−2y = −4x + 5

Divide all by (−2):y = 2x − 5/2

And we are done! (Note: m = 2 and b = −5/2)

Why Use It?

It has the advantage of working well with vertical lines, which the Slope-Intercept Form and Point-Slope Form do not.

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