Question

Which phrase best describes a graph that would represent the relationship shown in the table?(1 point)
Responses

an upward-sloping line drawn on a graph with acceleration shown on the x-axis and force shown on the y-axis
an upward-sloping line drawn on a graph with acceleration shown on the x -axis and force shown on the y -axis

a downward-sloping line drawn on a graph with acceleration shown on the y-axis and force shown on the x-axis
a downward-sloping line drawn on a graph with acceleration shown on the y -axis and force shown on the x -axis

a downward-sloping line drawn on a graph with acceleration shown on the x-axis and force shown on the y-axis
a downward-sloping line drawn on a graph with acceleration shown on the x -axis and force shown on the y -axis

an upward-sloping line drawn on a graph with acceleration shown on the y-axis and force shown on the x-axis
an upward-sloping line drawn on a graph with acceleration shown on the y -axis and force shown on the x -axis

Answer 1

Based on Newton's second law of motion, \( F = ma \) (where \( F \) is force, \( m \) is mass, and \( a \) is acceleration), the relationship between force and acceleration is that they are directly proportional. This means that as force increases, acceleration also increases, resulting in an upward-sloping line on a graph.

Therefore, the phrase that best describes this relationship is:

**an upward-sloping line drawn on a graph with acceleration shown on the y-axis and force shown on the x-axis.**