Question

Which graph represents a linear function? A coordinate plane is shown with a way line beginning along the x axis and continuing along the graph. It curves up and down reaching y equals 1 and y equals negative 1 in a steady pattern along the horizontal axis A coordinate plane is shown with a parabola opening in a downward U shape. The vertex of the parabola is at y equals 7 point 5 and opening downward on either side of the y-axis from there A coordinate plane is shown with a line crossing through the y axis at negative 3 and the x axis at 2. A coordinate plane is shown with a line that begins to the left of the y axis passing through negative 1 comma negative 4, then curving right and passing through the y-axis at negative 4. It curves again and continues upward, passing through the x axis at around x equals 1.

Answer 1

A coordinate plane is shown with a line crossing through the y axis at negative 3 and the x axis at 2.

Explanation:

The graph of a linear function is a straight line. So, we have to find the one graph that describes a straight line.

A coordinate plane is shown with a way line beginning along the x axis and continuing along the graph. It curves up and down reaching y equals 1 and y equals negative 1 in a steady pattern along the horizontal axis. This answer is incorrect because it does not describe a straight line, the line curves up and down between
`y = 1` and
`y = -1`.

A coordinate plane is shown with a parabola opening in a downward U shape. The vertex of the parabola is at y equals 7 point 5 and opening downward on either side of the y-axis from there. This answer is incorrect because describes a parabola which is the graph of a quadratic function.

A coordinate plane is shown with a line crossing through the y axis at negative 3 and the x axis at 2. This is the correct answer because describes a straight line that passes through the points (0 , - 3) and (2 , 0).

A coordinate plane is shown with a line that begins to the left of the y axis passing through negative 1 comma negative 4, then curving right and passing through the y-axis at negative 4. It curves again and continues upward, passing through the x axis at around x equals 1. This answer is incorrect because it does not describe a straight line.