Question

Convert the following standard form inequality (Ax + By = C) to slope intercept form (y = mx + b):

3x-2y>10

Answer 1

For whatever reason, there are different formats for simple linear equations. I prefer the slope-intercept form; at times, the point-slope form is helpful; some textbooks strongly prefer what they sometimes call the "intercept" form, which is often (though not always) given as being "Ax + By = C", so-called because the intercepts are at \small{ \left(0,\,\frac{C}{B}\right) }(0,

B

C

) and \small{ \left(\frac{C}{A},\,0\right) }(

A

C

,0). (Still others prefer a "standard" form, for which there is no actual standard. But I digress.)

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Answer 2

collect like terms in the form y= mx+c

-2y=-3x +10

divide both sides by-2 to have

y=1.5x+2