Answer:
Equation 1 and Equation 6 correspond to linear graphs, while Equation 2, Equation 3, Equation 4, and Equation 5 correspond to graphs that are not linear.
Step-by-step explanation:
In this question, you are given a table with six equations: Equation 1: y = 2x - 7, Equation 2: y = x^2 + 2, Equation 3: y = 2 * Equation 5, Equation 4: y = 4, Equation 5: y = x^3, and Equation 6: y = -3x + 1.
a. To determine which equations correspond to a linear graph, we look for equations that have a linear form, which is in the form of y = mx + b. Equations 1 and 6 fit this form. So, we put an asterisk (*) next to Equation 1 and Equation 6.
b. To determine which equations correspond to a graph that is NOT linear, we look for equations that do not have a linear form. Equations 2, 3, 4, and 5 do not fit the linear form. So, we circle Equation 2, Equation 3, Equation 4, and Equation 5 because they correspond to graphs that are not linear.
In summary, Equation 1 and Equation 6 correspond to linear graphs, while Equation 2, Equation 3, Equation 4, and Equation 5 correspond to graphs that are not linear.