Marco needed to boil some water in order to cook his pasta. One minute after he began heating the water, it reached the temperature of 95 degrees. Ten minutes after boiling the water, the temperature rose to 212 degrees. Write an equation to describe its meaning in standard form.

Question

anonymous · Answer

Do you know how to find the slope of that line?

anonymous · Answer

no

anonymous · Answer

please help me

anonymous · Answer

|dw:1349922761376:dw|
Here's a rough sketch of what the line looks like.

anonymous · Answer

Slope is 'rise-over-run' or vertical change divided by horizontal change.
Find that first.

anonymous · Answer

would that be 11.7?

anonymous · Answer

No, but that's close. What numbers did you divide to get that?

anonymous · Answer

why is it linear?

anonymous · Answer

We only have 2 points, @satellite73 , no choice but to do linear interpolation.

anonymous · Answer

is the slope 13?

anonymous · Answer

It's a lousy assumption, but not much else to go on here.

anonymous · Answer

Yes, the slope is 13. Good job!

Now you can use one of those points, and the slope to get an equation.
You can use slope-intercept form, y=mx+b, or point-slope form, y-y1=m(x-x1) to make the equation, then rearrange it to get standard form.

anonymous · Answer

in slope- intercepy form, would the equation be y=13x+82?

anonymous · Answer

intercept*

anonymous · Answer

That seems to check out. You can check it by putting in your x,y points to see if it works.

anonymous · Answer

thank you so much!!!

anonymous · Answer

You're welcome. The question asks for standard form, which for a line is
Ax+By=C, where A, B, and C are integers.