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tino4ka555 [31]
1 year ago
10

A. Write an equation that compares Tom sand Ann's ages.b. Draw a graph to represent theequation

Mathematics
1 answer:
kompoz [17]1 year ago
3 0

a. The equation that relates Ann's age (x) and Tom's age (y) is a line

The slope-intercept form of a line is:

y = mx + b

where m is the slope and b is the y-intercept.

The slope of the line that passes through the points (x1, y1) and (x2, y2) is computed as follows:

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

From the table, the line passes through the points (4, 8) and (8, 12), then its slope is:

m=\frac{12-8}{8-4}=\frac{4}{4}=1

Substituting with m = 1 and the point (4, 8) into the general equation, we get:

8 = 1(4) + b

8 = 4 + b

8 - 4 = b

4 = b

Finally, the equation that compares Tom's and Ann's age is:

y = x + 4

b. To graph the line y = x + 4, we need to draw two points and then connect them with a line. Replacing with x = 0 into the equation:

y = 0 + 4

y = 4

then, the point (0, 4) is on the line. And we can also use the point (4,8)

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<em>Additional comments</em>

This is a product your scientific or graphing calculator can produce for you. Likely it will display the result in scientific notation because it won't have enough display digits to show you the product any other way. For smaller numbers, you can set the display mode to give you scientific notation.

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