The ordered pairs for a linear graph are recorded in the table below.x –2 0 1 2y 4 0 –2 –4What is the algebraic equation for this table of values?
Question
The ordered pairs for a linear graph are recorded in the table below.x –2 0 1 2y 4 0 –2 –4What is the algebraic equation for this table of values?
Solution
The given ordered pairs are (-2, 4), (0, 0), (1, -2), and (2, -4).
To find the algebraic equation, we need to determine the slope (m) and the y-intercept (b) for the equation in the form y = mx + b.
-
Calculate the slope (m): The slope is the change in y divided by the change in x. Using the first two points (-2, 4) and (0, 0), the slope m = (0 - 4) / (0 - (-2)) = -4 / 2 = -2.
-
Identify the y-intercept (b): The y-intercept is the value of y when x = 0. From the table, we can see that when x = 0, y = 0. So, b = 0.
Therefore, the algebraic equation for this table of values is y = -2x + 0, or simply y = -2x.
Similar Questions
The ordered pairs for a linear graph are recorded in the table.x –2 0 1 2y –1 0 12122Select all the equations below that describe this pattern.y = 2x x = 2y y = 𝑥2𝑥2 x = 𝑦2𝑦2Answer
This equation describes a relationship between x and y.y=x–2Complete the table and select the graph that shows this relationship.x y2 3 4 5
A table of values of a linear function is shown below.x −2 −1 0 1 2y −14 −10 −6 −2 2Find the y-intercept and slope of the function's graph, and find the equation for the function.y-intercept: slope: equation:
This equation describes a relationship between x and y.y=x+7Complete the table and select the graph that shows this relationship.x y1 2 3 4
Drag the tiles to the correct boxes to complete the pairs.Determine which equations correspond to the graphs given below.
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.