Algebra-1

To match the equation with a graph that is an increasing line passing through the origin:

 

The line is increasing: The slope must be positive.

The line passes through the origin: The y-intercept must be 0.

 

Given these conditions, the equation should:

Have a positive slope.

Have no constant term (no y-intercept).

 

Among the options:

A.  This has a negative slope and thus is decreasing.

B. This has a positive slope and no y-intercept, so it passes through the origin and is increasing.

C. This has a positive slope but a y-intercept of -1, so it does not pass through the origin.

D. This has a negative slope and a y-intercept of 1, so it does not pass through the origin.

The equation that matches the graph is: B.

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