Question

Which equation represents the graphed function?

Answer 1

The equation y = –2 x + 3 represents the graphed function.

Answer: Option A

Step-by-step explanation:

As per the mapping points in the attached figure, A (0, 3) and B (1, 1)

Step 1: Find the slope of the line.

We know that the formula to calculate the slope between two points is equal to

                $m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

$\left(x_{1}, y_{1}\right)=(0,3) \text { and }\left(x_{2}, y_{2}\right)=(1,1)$. So, the slope ‘m’ would be

              $m=\frac{1-3}{1-0}=-2$

Step 2: Find the y-intercept

We know that the y-intercept is the value of y when the value of x is equal to zero. In this problem the y-intercept is the point A (0, 3)

Step 3: Find the equation of the line into slope-intercept form

We know that the equation of the line into slope-intercept form is equal to

                             y = m x + b

We have  m = - 2 and b = 3 as b is equal to the y-coordinate of the y-intercept. Substitute these, we get

                          y = - 2 x + 3

Answer 2

Answer:A

Step-by-step explanation: