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<h2>Hello!</h2>
The answer is:
C.
The density is the relation between the mass and the volume of an object. We are given four options to chose, and we can find the correct one by doing the following calculations:
So, the correct options is C.
Have a nice day!
Hi, I'm happy to help!
To find the slope, you need to use the slope formula, where m is the slope:
<u>m=</u><u></u>
Slope means rise over run, or how much the line rises per the amount the line moves forward. This equation shows the movement from the y points to show <u>rise</u>, over the difference in the x points to show <u>run</u>.
Now, to find the slope we insert our values, starting with our second y point:
<u>m=</u><u></u>
Now insert our first y point:
<u>m=</u><u></u>
Now we insert our second x point:
<u>m=</u><u></u>
And finally our first x point:
<u>m=</u>
Now, we solve:
<u>m=</u>
So, our slope is -2/-6, to simplify it, we remove both negatives because they cancel each other out.
<u>m=</u>
Now, we simplify our fraction by dividing the top and bottom by 2:
<u>m=</u><u></u>
So, our slope is 1/3. This means that for every 1 unit the line rises, it goes to the right 3 units. The y-intercept is where the line hits the y axis.
If the question is asking for slope intercept form for the equation, you use y=mx+b
y represents any y coordinate on your line, m represents your slope (1/3), x represents any x coordinate on your line, and b represents your y-intercept (3).
If you were to insert these values, you would get:
y=x+3
You use this to find what a y coordinate would be so you can draw your line.
For the next equation we do the same thing:
<u>m=</u><u></u>
Insert our values:
<u>m=</u><u></u>
Get rid of the double negative:
<u>m=</u><u></u>
Solve:
<u>m=</u><u></u>
Simplify:
<u>m=</u>
Now that we know our slope, let's plug it in to our slope intercept form equation.
y=x+3
I hope this was helpful! Keep learning! :D