Question

Match each equation with the description of its graph below.

Equations:
A) y = -10x
B) y = 2.5x - 7
C) y = 1.2x
D) y + 1
E) y = -5x - 8
5. My graph is non-proportional with a positive y-intercept.

My graph has a negative slope and passes through the origin.
My graph increases from left to right, and my "b" value is negative.
My graph contains the point (0,0) and has a positive slope.
My graph has a negative "m" value and a negative "b" value.

Answer 1

The equations are matched to the graph descriptions based on the slope and y-intercept values: A) matches a negative slope through the origin, B) is a positive slope with a negative y-intercept, C) positive slope through the origin, and E) has both a negative slope and y-intercept.

Step-by-step explanation:

Match the given equations with the descriptions of their graphs:

1. Non-proportional with a positive y-intercept: B) y = 2.5x - 7. This graph has a slope of 2.5 (positive) and a y-intercept at -7 (negative), making it non-proportional, and its y-intercept is negative, not positive as in the description.
2. Negative slope and passes through the origin: A) y = -10x. The graph has a negative slope (m = -10), and since there's no b term, it passes through the origin (0,0).
3. Increases from left to right, and "b" value is negative: C) y = 1.2x does not match this description since it has no b value, indicating the line crosses the y-axis at 0. Hence, B) fits better here as it increases (positive slope) and has a negative y-intercept (b = -7).
4. Contains the point (0,0) and has a positive slope: C) y = 1.2x. The line contains the origin point and the slope m = 1.2 is positive.
5. Negative "m" value and negative "b" value: E) y = -5x - 85. This graph has both a negative slope (m = -5) and a negative y-intercept (b = -85).