Substitute the given information into the Slope Formula. Then, solve for the asked variable.
x=-6
Practice makes perfect
Let's start by recalling the Slope Formula.
m=y_2- y_1/x_2- x_1
The above formula is usually used to determine the slope m of the line that connects two given points, ( x_1, y_1) and ( x_2, y_2). In this case, however, we are given the slope of a line and two points, one of them with a missing coordinate.
Slope:& -1/2 [0.5em]
Point1:& ( 2, 4)
Point2:& ( x, 8)
When we substitute these values into the Slope Formula, it does not matter which point we choose to use as ( x_1, y_1) or ( x_2, y_2). Both of them will give us the same result!
-1/2=4- 8/2- x or -1/2=8- 4/x- 2
Let's use the points in the given order and solve for the unknown coordinate.
