the graph of function a is displayed.\nfunction a\nfunction b is represented by the equation $y = 4x…
the graph of function a is displayed.\nfunction a\nfunction b is represented by the equation $y = 4x - 1$\naccording to the graph and the equation which statement is true?\na. the slope of function a is equal to the slope of function b.\nb. the slope of function a is less than the slope of function b.\nc. the y-intercept of function a is less than the y-intercept of function b.\nd. the y-intercept of function a is greater than the y-intercept of function b.
Answer
Explanation:
Step1: Find slope of Function A
Use two points on the line, e.g., $(0,6)$ and $(1,10)$. Slope formula: $m=\frac{y_2-y_1}{x_2-x_1}$ $m_A=\frac{10-6}{1-0}=4$
Step2: Find y-intercept of Function A
The line crosses y-axis at $(0,6)$, so $b_A=6$
Step3: Identify values for Function B
From $y=4x-1$, slope $m_B=4$, y-intercept $b_B=-1$
Step4: Evaluate each option
- A: $m_A=m_B=4$, this is true.
- B: $4 \nless 4$, false.
- C: $6 \nless -1$, false.
- D: $6 > -1$, but A is also true; verify slope equality first.
Answer:
A. The slope of Function A is equal to the slope of Function B.