Big Ideas Math: Modeling Real Life, Grade 8
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Big Ideas Math: Modeling Real Life, Grade 8 View details
2. Slope of a Line
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Exercise 34 Page 154

Substitute the given information into the Slope Formula and solve for the variable.

k=-5

Practice makes perfect

The Slope Formula is used to determine the slope m of the line that connects two given points, ( x_1, y_1) and ( x_2, y_2). m=y_2- y_1/x_2- x_1Here, we are given the slope of a line and two points, one of them with a missing coordinate. 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 will give the same result. -1/5=-7- k/6-( - 4) or -1/5=k-( -7)/- 4- 6 We will use the points in the given order and solve for the unknown coordinate.

m = y_2-y_1/x_2-x_1
-1/5=k-( -7)/-4- 6
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Solve for k
-1/5=k+7/-4-6
-1/5=k+7/-10
-10(-1/5)=k+7
10 * 1/5=k+7
10/5=k+7
2=k+7
-5=k
k=-5