Pearson Algebra 1 Common Core, 2011
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Pearson Algebra 1 Common Core, 2011 View details
1. Rate of Change and Slope
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Exercise 43 Page 299

Substitute the given information into the Slope Formula. Then, solve for the asked variable.

y=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:& 3 Point1:& ( 4, 3) Point2:& ( 5, y) 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! 3=3- y/4- 5 or 3=y- 3/5- 4 Let's use the points in the given order and solve for the unknown coordinate.
m = y_2-y_1/x_2-x_1
3=y- 3/5- 4
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Solve for y
3=y-3/1
3=y-3
6=y
y=6
Therefore, we have found that y=6.