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24. Write an equation to represent the table below. Please help!!!​

24. Write an equation to represent the table below. Please help!!!​-example-1
User Paul Sweatte
by
2.3k points

1 Answer

13 votes
13 votes

Answer:

y = 2x + 8

Explanation:

Using two ordered pairs from the table: (4, 16) and (8, 24):

Let (x1, y1) = (4, 16)

(x2, y2) = (8, 24)

We can start by solving for the slope of the line by using the formula:


m = (y2 - y1)/(x2 - x1) = (24 - 16)/(8 - 4) = (8)/(4) = 2

Therefore, the slope of the line is 2.

Next, we must determine the y-intercept of the line. By definition, the y-intercept is the y-coordinate of the point where the graph of the linear equation crosses the y-axis. The y-intercept is also the value of y when x = 0.

Using the slope (m) = 2, and one of the points on the given table, (4, 16), we can plug in these values into the slope-intercept form: y = mx + b

y = mx + b

16 = 2(4) + b

16 = 8 + b

Subtract 8 on both sides of the equation to solve for the y-intecept, b:

16 - 8 = 8 + b - 8

8 = b

Now that we have our slope, m = 2, and y-intercept, b = 8, we can establish our linear equation in slope-intercept form:

y = 2x + 8

User Internet Man
by
3.0k points
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