Q:

HURRY PLEASE!!!The table represents a linear function.A two column table with six rows. The first column, x, has the entries, negative 2, negative 1, 0, 1, 2. The second column, y, has the entries, negative 2, 1, 4, 7, 10. What is the slope of the function?–3–234

Accepted Solution

A:
Answer: THIRD OPTION.Step-by-step explanation: The slope can found by using the following formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex] In this case, in order to find the slope of the given function, we need to choose two points from the table provided in the exercise. Let's choose these points: [tex](-2,-2)\\\\(2,10)[/tex] We can identify that: [tex]y_2=-2\\y_1=10\\\\x_2=-2\\x_1=2[/tex] Substituting these values into the formula, we get that the slope of the function is: [tex]m=\frac{-2-10}{-2-2}\\\\m=3[/tex] This matches with the third option.