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2 answers:
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The formula for Slope is m = 
where m is the slope and the x's and y's are your given coordinates. So, plug the given information into the formula and solve for y.
m = Plug in the given values
= 
Cross multiply
10 - 6 = -4 - 4y Subtract
4 = -4 - 4y Add 4 to both sides
8 = -4y Divide both sides by -4
-2 = y Swich the sides to make it easier to read
y = -2
Check your answer by plugging -2 back into the equation with the other values.
[<span>tex] \frac{1}{4} [/tex] =
Simplify the double negative
</span><span> = 
Simplify the numerator and denominator
</span><span> =
</span>
Since both sides equal each other, y = -2.
m =
10 - 6 = -4 - 4y Subtract
4 = -4 - 4y Add 4 to both sides
8 = -4y Divide both sides by -4
-2 = y Swich the sides to make it easier to read
y = -2
Check your answer by plugging -2 back into the equation with the other values.
[<span>tex] \frac{1}{4} [/tex] =
</span><span>
</span><span>
</span>
Since both sides equal each other, y = -2.
Answer: OPTION C
Step-by-step explanation:
Complete the square:
Having the equation in the form , you need to add
to both sides of the equation:
You can identify that "b" in the equation is:
Then:
Add this to both sides:
Rewriting, you get:
Solve for "x":
Then, the solutions are: