Find the standard form of the equation of the line passing through (4, – 2) and (– 5, 2).

Guest Jul 11, 2020

#1**+1 **

We write the slope intercept form equation first based on the two given points. The slope is -4/9. We now have y=-4/9x+b. We then plug in one of the points to determine b.

y=-4/9x+b

-2=-4/9(4)+b

-2=16/9+b

b=-2/9

So the equation is y=-4/9x-2/9. We then convert it to standard form.

y=-4/9x-2/9

4/9x+y=-2/9

**4x+9y=-2**

gwenspooner85 Jul 11, 2020