Write the equation of the line that passes through (2, 2) and (6, 3) in standard form.

4x + 4y = 6

x + 4y = 12

4x + 4y = –12

x – 4y = –6

Question

Write the equation of the line that passes through (2, 2) and (6, 3) in standard form. 

 4x + 4y = 6 

 x + 4y = 12 

 4x + 4y = –12 

 x – 4y = –6

hero · Answer

The way this can be solved depends on what your strengths are.

hero · Answer

Someone who is good with mental math could simply plug in the points directly into each equation without wasting time writing anything down and figure out which equation is correct in 30 seconds or less.

hero · Answer

And that would be one way to solve it. The other way would be to go through the routine of finding the slope, then finding the b value or y-intercept, then transforming slope-intercept form to standard form.