Question

11.Find the missing value given the rate of change.(2,6) and (x, 10) m = 4

Answer 1

The missing value x=3 is obtained by the concept of slope in coordinate geometry.

What is slope?

Positive or negative rates of change are both possible. Since the slope of a line is determined by the ratio of the vertical and horizontal change between any two locations on a plane or line, the slope is determined by the rise to run ratio. Where, Rise is the difference in elevation between two points. The horizontal shift between two places is known as a run.

Formula of slope = $\frac{y2-y1}{x2-x1}$ (equation 1)

According to the question the coordinates are: xi=2, x2=x, y1=6, y2=10

Given, rate of change=4 (here rate of change=slope)

Putting all coordinates in equation 1

Slope= $\frac{10-6}{x-2}$

4=4/x-2

x-2=1

x=3

Therefore, the missing value x=3

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