Answer:
D. [tex] y + 1 = -2(x - 2) [/tex]
Step-by-step explanation:
Point-slope form equation is given as [tex] y - b = m(x - a) [/tex], where,
(a, b) = a point of the graph.
m = slope of the graph
Find the slope of the graph:
Slope = [tex] \frac{rise}{run} = \frac{-4}{2} = -2 [/tex]
Using the point (2, -1) and the slope, m, = -2, we can derive the equation in point-slope form by substituting a = 2, b = -1, and m = -2 into [tex] y - b = m(x - a) [/tex].
✅The equation would be:
[tex] y - (-1) = -2(x - 2) [/tex]
[tex] y + 1 = -2(x - 2) [/tex]
