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Can someone please help me out ?

Using the chart, find the equation from
the relation.
input x 15 16 17 18
output y 8 9 10 11
y = x + [?]

1 Answer

5 votes

Answer:

y = x - 7

Explanation:

The equation can be found using the slope-intercept form of a line, y = mx + b, where m is the slope and b is the y-intercept.

To find the slope (m), you can use the formula: m = (change in y) / (change in x)

For the points (15, 8) and (16, 9), the change in y is 9 - 8 = 1 and the change in x is 16 - 15 = 1, so m = 1/1 = 1.

To find the y-intercept (b), you can use one of the points and the slope to solve for b. For example, using the point (15, 8), substitute x = 15 and y = 8 into the equation y = mx + b, and solve for b:

8 = 1 * 15 + b

8 = 15 + b

b = 8 - 15

b = -7

So, the equation from the relation is:

y = x + (-7)

y = x - 7

User Gaurav Patel
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