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A coordinate plane shows two intersecting lines. The solid line is parallel to the x-axis. The dotted line slopes downward from left to right. The dotted line shows both an x-intercept and a y-intercept. The solid line shows only a y-intercept. The solid line is parallel to the x-axis and has a y-intercept of left parenthesis 0 comma negative 2 right parenthesis. The solid line has no x-intercept. The dotted line passes through an x-intercept at left parenthesis negative 1 comma 0 right parenthesis and a y-intercept at left parenthesis 0 comma negative 2 right parenthesis. On the coordinate plane, both axes range from negative 4 to 4.

The graph shows additive linear relationships. Complete the table to identify similarities and differences.

(2 points)
graph slope y
-intercept x
-intercept
dashed line Blank (Blank) (Blank)
solid line blank (Blank) N/A

1 answer

Based on the description provided for the graph, we can fill in the table as follows:

  1. Dotted Line (Dashed Line):

    • Slope: The slope is negative since the line slopes downward from left to right. To determine the exact value, we could use the two intercepts, but since they are not specified numerically, we can leave it as "negative."
    • Y-Intercept: The y-intercept is at the point (0, -2). Thus, it is -2.
    • X-Intercept: The x-intercept is at the point (-1, 0). Thus, it is -1.

  2. Solid Line:

    • Slope: The slope is 0 because it is parallel to the x-axis.
    • Y-Intercept: The y-intercept is at the point (0, -2). Thus, it is -2.
    • X-Intercept: There is no x-intercept since the line is parallel to the x-axis and never crosses it. Therefore, it is "N/A."

Filling in the table:

| Graph | Slope | Y-Intercept | X-Intercept | |-------------|---------------|-------------|-------------| | Dashed Line | Negative | -2 | -1 | | Solid Line | 0 | -2 | N/A |

This emphasizes the similarities (both having a y-intercept of -2) and differences (the dashed line has an x-intercept and a negative slope while the solid line has a slope of 0 and no x-intercept).