<u>Answer:</u>
1
you rise 1
then run to the right 1
1/1 = 1
let me know if you need a more in-depth explanation.
Yes, because only one line can go through two set points and because they have the same slope and the same x and y-intercepts they have two set points that they must both go through making them identical.
The equation of the line is 
Explanation:
The given equation is 
<u>Slope:</u>
Since, the equation of the line is perpendicular to the equation
, then, the slope is given by

Hence, the slope is 
<u>Equation of the line:</u>
The equation of the line can be determined using the formula,

Substituting the point (-2,3) and the slope
, in the above formula, we get,

Simplifying, we get,



Therefore, the equation of the line is 
Suppose the chemist uses <em>x</em> mL of the 8% acid solution, and <em>y</em> mL of the 5% solution.
The chemist wants to end up with a 500 mL solution, so
<em>x</em> + <em>y</em> = 500
and wants this solution to have a concentration of 6.8% acid. This means 6.8% of this volume should be acid. By volume, the 8% solution contributes 0.08<em>x</em> mL of acid, and the 5% solution contributes 0.05<em>y</em> mL, so
0.08<em>x</em> + 0.05<em>y</em> = 0.068(<em>x</em> + <em>y</em>) = 0.068 * 500 = 34
Now,
<em>y</em> = 500 - <em>x</em>
0.08<em>x</em> + 0.05(500 - <em>x</em>) = 34
0.08<em>x</em> + 25 - 0.05<em>x</em> = 34
0.03<em>x</em> = 9
<em>x</em> = 300
The chemist must use 300 mL of the 5% solution.