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
[tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
[tex]\left(x_{1}, y_{1}\right)=(0,3) \text { and }\left(x_{2}, y_{2}\right)=(1,1)[/tex]. So, the slope ‘m’ would be
[tex]m=\frac{1-3}{1-0}=-2[/tex]
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
