Which equation represents the graphed function?

y = –2x + 3
y = 2x + 3
y = x + 3
y = –x + 3

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

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

. So, the slope ‘m’ would be

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