Question
Consider the graph of the equation y=mx+b.
1. How does changing the value of m affect the graph of the equation?
2. How does changing the value of b affect the graph of the equation?
1. How does changing the value of m affect the graph of the equation?
2. How does changing the value of b affect the graph of the equation?
Answers
GPT 3.5
1. Changing the value of m affects the slope of the graph. As m increases, the slope becomes steeper, and as m decreases, the slope becomes less steep. A positive value of m will result in a graph sloping upwards from left to right, while a negative value of m will result in a graph sloping downwards from left to right.
2. Changing the value of b affects the y-intercept of the graph. As b increases, the graph shifts upwards, and as b decreases, the graph shifts downwards. The value of b determines where the graph intersects the y-axis.
2. Changing the value of b affects the y-intercept of the graph. As b increases, the graph shifts upwards, and as b decreases, the graph shifts downwards. The value of b determines where the graph intersects the y-axis.