Is the set of multiples of 4 closed under addition? Explain why or provide a counterexample if not.
1 answer:
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With even just two points, you can find the equation of a line in slope-intercept form.
Slope-intercept form: where
is the slope and
is the y-intercept
<u>1) Solve for the slope (</u><u>)</u>
The equation to solve for the slope is when the two points are
and
. Plug the coordinates of these points into the equation and solve for
.
Then, plug into
.
<u>1) Solve for the y-intercept (</u><u>)</u>
Then, take any of the given points and plug it into along with the slope. Isolate
to get the y-intercept. Then, plug both m and b back into
to get your final equation.
I hope this helps!