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.