Question

20 Points For Answering ( and getting it right) ! )

Which statements accurately describe how to determine the y-intercept and the slope from the graph below? On a coordinate plane, a line goes through points (0, negative 6) and (3, 0). To find the y-intercept, begin at the origin and move horizontally to the graphed line. To find the slope, use two ordered pairs on the line and substitute into the equation m = StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction. To find the y-intercept, begin at the origin and move horizontally to the graphed line. To find the slope, use two ordered pairs on the line and substitute into the equation m = StartFraction x 2 minus x 1 Over y 2 minus y 1 EndFraction. To find the y-intercept, begin at the origin and move vertically to the graphed line. To find the slope, use two ordered pairs on the line and substitute into the equation m = StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction. To find the y-intercept, begin at the origin and move vertically to the graphed line. To find the slope, use two ordered pairs on the line and substitute into the equation m = StartFraction x 2 minus x 1 Over y 2 minus y 1 EndFraction.

Answer 1

Below :)

Explanation:

To determine the y-intercept and slope from the given graph, you can follow these steps:

1. To find the y-intercept, begin at the origin (0, 0) and move vertically to the point where the line intersects the y-axis. In this case, the y-intercept is the point (0, -6), which means the line crosses the y-axis at -6.

2. To find the slope, you need to use two ordered pairs on the line. In this case, we can use the points (0, -6) and (3, 0).

3. Substitute the values into the slope formula: m = (y2 - y1) / (x2 - x1).

- For the first point (0, -6), the x-coordinate is 0 and the y-coordinate is -6.

- For the second point (3, 0), the x-coordinate is 3 and the y-coordinate is 0.

4. Substitute the values into the slope formula: m = (0 - (-6)) / (3 - 0). - Simplifying, we have m = 6 / 3.

5. The slope, m, is equal to 2. So, the correct statements are:

- To find the y-intercept, begin at the origin and move vertically to the graphed line.

- To find the slope, use two ordered pairs on the line and substitute into the equation m = (y2 - y1) / (x2 - x1). Remember, the y-intercept is the point where the line crosses the y-axis, and the slope represents the rate of change of the line.