How do I rewrite two points into standard form?

Question

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.

Answer 1

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.

Answer 2

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:

x + 4y = 4

That is standard form.