7-6a Write Equations

Click here for more information or see pages 328-330 in the book.

* Locked after checks
All Correct Answers shown after locked.

DON'T FREAK OUT when you submit. Will only show MY answers. Not yours. The score is what is important. (20/20)

More Information

First of all.  You are MUCH smarter than this program.
What you would normally write as:
y - 3x = 2
The equation maker might write as
-1y + -3x = 2
or occasionally as
-1y + -3x + 0 = 2
That's okay.  We know you're smart enough to ignore the superfluous information.

When you write an equation as y=mx+b then it is in slope-intercept form.
The number in front of the x is the slope and the b is the y-intercept (the y-value when x is 0)

For the slope= -4/3 and point (3,-1)

The formula is y=mx+b.
We know everything but b.
Plugging in the slope and the points we get
Which is
Which means b=3
Thus the formula is y=-4/3x+3

For the point (8,5) and point (-8,-1)

The formula is find the slope and then do the same calculations as before with either point:
Slope is rise over run.
Rise is 5 - -1 or 6
Run is 8 - - 8 or 16
Slope is 6/16 or 3/8 or 0.375

Plugging the slope and the first point into our y=mx+b formula, we get
which is
which means b=2 and our formula is