(04.04)

Which graph represents a linear function? (4 points)

Group of answer choices

A coordinate plane is shown with a line passing through the x-axis at negative 2 and the y-axis at negative 6.

A coordinate plane is shown with a curved line that starts in the bottom left area of the graph, passing through the point -1 comma -5, curving to pass through the y-axis at 2.5, then curving up again to pass through the point 1 comma 5

A coordinate plane is shown with a parabola graphed in an upward U shape. The bottom of the parabola touches the y-axis at -10 and curves upward on both sides

A coordinate plane is shown with a wavy line that sits on the x-axis and moves across the graph in even up and down waves.

Respuesta :

A linear function is one of the most simplest form of functions. As the name "linear" indicates, a linear function is simply a line, more precisely a straight line.

So it is in the form of f(x) = ax + b.

Lets now check the possible answers : (second answer :) "a curved line", not correct.

(third answer:) "a parabola", this is not a straight line, so not correct.

(fourth answer:) "a wavy line", not a straight line, so not correct.

The only correct answer is the first one : a line passing through the x axis at negative 2 and the y axis at negative 6.