Find the missing value so that the two points have a slope of -11/7. (2,6) and (x,-5)
You could plot them on a cartesian plane and start at (2,6) and make a graph with the slope and see where it hits the y-value at -5...
or...
since slope =(rise)/run
and that is the (change in y)/(change in x)
you could sub y-y2/x-x2 for the two points and work that way : )
m = (-5-6)/(x-2) = -11/7.
-11/(x-2) = -11/7,
-77 = -11x + 22,
11x = 99,
X = 9.
To find the missing value, we can use the formula for slope:
slope = (y2 - y1) / (x2 - x1)
Given that the slope is -11/7 and the points (2, 6) and (x, -5), we can substitute the coordinates into the slope formula:
-11/7 = (-5 - 6) / (x - 2)
Now, we need to solve this equation for x.
Let's simplify the equation:
-11/7 = -11 / (x - 2)
To eliminate the fractions, we can cross-multiply:
-11(x - 2) = -11(7)
Expanding both sides of the equation:
-11x + 22 = -77
Next, isolate the variable x by subtracting 22 from both sides:
-11x = -77 - 22
-11x = -99
Finally, divide both sides by -11 to solve for x:
x = -99 / -11
x = 9
Therefore, the missing value is x = 9.
To find the missing value x, we can use the slope formula and the given slope of -11/7:
Slope = (y2 - y1) / (x2 - x1)
Let's substitute the given values into the formula:
-11/7 = (-5 - 6) / (x - 2)
We can now simplify and solve for x:
-11/7 = -11 / (x - 2)
Cross-multiplying, we get:
-11(x - 2) = -11 * 7
Expanding the left side:
-11x + 22 = -77
Moving the constant term to the right side:
-11x = -77 - 22
-11x = -99
Dividing both sides by -11:
x = -99 / -11
Simplifying the fraction:
x = 9
Therefore, the missing value x is 9.