Question

The equation below represents Function A and the graph represents Function B:

Answer 1

Answer:

Slope of Function B  = -Slope of Function A

Step-by-step explanation:

To find the right answer we need to calcultate the slope of each function.

Function A is  $f(x)=-2x+1$

From its expression we can deduct that its slope is $m_{A} =-2$ because the function is expressed in slope-intercept form where the coefficient of the x is the slope.

Now, function B is defined with a graph line, that intercepts points (-1,-5), (2,1) and (3,3). Using this points we can find its slope using the formula

$m=\frac{y_{2}-y_{1} }{x_{2}-x_{1} } \\m_{B} =\frac{3-(-5)}{3-(-1)} =\frac{3+5}{3+1}=\frac{8}{4}=2$

So, function A has a slope of -2 and function B has a slope of 2.

Therefore, the last choice compares both slopes, because they are just opposite,

$m_{B}=-m_{A}$

So, the answer is

Slope of Function B = -Slope of Function A

Answer 2

Answer:

Slope of Function B = – Slope of Function A

Step-by-step explanation:

Slope of function A=$-2$

Slope of function B=$\frac{3-1}{3-2}=2$