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Papessa [141]
2 years ago
15

If the units for x are years, and x = 5 represents the year 2015, what is the y-value for 2010?

Mathematics
1 answer:
Darya [45]2 years ago
5 0

<u>Given</u>:

The given graph passes through the points (-3,4) and (3,2)

The x - axis represents the years. The value x = 5, year 2015.

We need to determine the y - value for 2010.

<u>Slope</u>:

The slope of the line can be determined using the formula,

m=\frac{y_2-y_1}{x_2-x_1}

Substituting the points (-3,2) and (3,2), we get;

m=\frac{2-4}{3+3}

m=\frac{-1}{3}

Thus, the slope of the line is m=\frac{-1}{3}

<u>y - intercept:</u>

The y - intercept in the graph is the point in the line that crosses the y - axis.

Thus, from the graph, it is obvious that the y - intercept is b = 3.

<u>Equation of the line:</u>

The equation of the line can be determined using the formula,

y=mx+b

Substituting the values, we have;

y=-\frac{1}{3}x+3

Thus, the equation of the line is y=-\frac{1}{3}x+3

<u>The y - value for 2010:</u>

Since, it is given that x = 5 represents 2015 and 2010 is 5 years before 2010.

Hence, the value of x for 2010 is given by

x=5-5=0

Thus, x = 0 represents the year 2010.

To determine the y - value, let us substitute x = 0 in the equation y=-\frac{1}{3}x+3, we have;

y=-\frac{1}{3}(0)+3

y=3

Thus, for 2010 the value of y is 3.

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