How to write a standard form equation with two points

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Haley P.

asked • 08/21/17

My two points are (0,1) and (4,0) but I am not sure how to write it in standard form. I know that the slope which is -1/3. I also know my equation in slope-intercept form, which is y= -1/3x +1.

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2 Answers By Expert Tutors

Kenneth S. answered • 08/21/17

Expert Help in Algebra/Trig/(Pre)calculus to Guarantee Success in 2018

given two points (4,0) and (0,1), the slope m is -1/4.  The second point that I listed is, in fact, the y-intercept.

If you want the slope intercept form, then y = -¼•x + 1.

If you want standard form Ax + By =C  then I suggest that you multiply the above equation by four and collect both the x and y terms on the left side of the equation, leaving a constant alone on the right side.

Arturo O. answered • 08/21/17

Experienced Physics Teacher for Physics Tutoring

Note the slope is (0-1)/(4-0) = -1/4

The y-intercept is given at (0,1)

The correct equation for the line is:

y = (-1/4)x + 1

Convert to the form:

Ax + By = C, with A, B, and C integers (if possible), and A positive:

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How do you put an equation into standard form?

The standard form of a linear equation is Ax+By=C. To change an equation written in slope-intercept form (y=mx+b) to standard form, you must get the x and y on the same side of the equal sign and the constant on the other side.

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