question 6 of 10\nif y = 2x + 1 were changed to y = 1/2x + 1, how would the graph of the new function…
question 6 of 10\nif y = 2x + 1 were changed to y = 1/2x + 1, how would the graph of the new function compare with the first one?\na. it would be steeper.\nb. it would be shifted down.\nc. it would be shifted left.\nd. it would be less steep.
Answer
Answer:
D. It would be less steep.
Explanation:
Step1: Recall slope - intercept form
The equation of a line is $y = mx + b$, where $m$ is the slope.
Step2: Identify slopes of given lines
For $y = 2x+1$, the slope $m_1 = 2$. For $y=\frac{1}{2}x + 1$, the slope $m_2=\frac{1}{2}$.
Step3: Compare the slopes
Since $\frac{1}{2}<2$, a smaller absolute - value of the slope means a less steep line. So the graph of $y=\frac{1}{2}x + 1$ is less steep than the graph of $y = 2x+1$.