When graphing a linear equation that is written in the form y=mx+b, the variable m represents the y-intercept. assuming that b> 0, which of the following best describes how reversing the sign of b would affect the graph? a) the new line will be shifted down b units b) the new line will be shifted down b x 2 units c) the new line will be a perfect reflection across the x-axis d) the new line will be a perfect reflection across the y-axis

B. A numeric example of this is with a y-intercept of 7. Changing it to -7 will cause a downwards shift of 14 units. This is because it takes 7 units to get down to 0, then another 7 to get to -7.
A downwards shift of b units will always result in a new value of 0, so this is obviously not true. Reflection has nothing to do with the y-intercept, or b value. So beyond the mathematical explanation provided above, you could solve this using the process of elimination.

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