Question

refer to the following to answer questions... carol needs to determine the slope of the line shown in the graph. 7. carol starts by choosing 2 points on the line. what are the coordinates of those two points? select two correct answers. a. (8, 1) b. (0, 7) c. (-2, -4) d. (5, 4) e. (3, 9)

Explanation:

To determine which points lie on the line, we analyze the slope formula \(m=\frac{y_2 - y_1}{x_2 - x_1}\) for consistency. Let's check pairs:

• For points \((0,7)\) (B) and \((5,4)\) (D): \(m=\frac{4 - 7}{5 - 0}=\frac{-3}{5}=-0.6\).
• For other pairs, the slope would not match the line's trend (negative, moderate steepness). Also, visual inspection (if we assume the graph has a y - intercept around 7 and passes through (5,4)) confirms these two points are on the line.

Answer:

B. \((0, 7)\), D. \((5, 4)\)