Question

the graph of function 1 is shown on the coordinate plane.
function 1
the equations of three other functions are given.

function 2	function 3	function 4

which function or functions have a slope equal to the slope of function 1?
a function 2 only
b function 4 only
c function 2 and function 3 only
d function 2 and function 4 only

Explanation:

Step1: Find slope of Function 1

Use two points on Function 1, e.g., (0, -1) and (2, 3). Slope formula: $m = \frac{y_2 - y_1}{x_2 - x_1}$. So $m = \frac{3 - (-1)}{2 - 0} = \frac{4}{2} = 2$.

Step2: Analyze slopes of other functions

• Function 2: $y = 3 + 2x$ is in $y = mx + b$ form, slope $m = 2$.
• Function 3: $y = 2$ is horizontal line, slope $m = 0$.
• Function 4: $y = \frac{3}{2}x + 6$ has slope $m = \frac{3}{2}$.

Step3: Compare slopes

Slope of Function 1 is 2, same as Function 2.

Answer:

A. Function 2 only