Answer:
D. y = -1/2x + 18.5
Step-by-step explanation:
First you want to find the slope of the line that these coordinates make. To do this, use the slope formula: (y₂ - y₁) / (x₂ - x₁). I will use the first and last points.
(1, 18) & (6, 15.5)
Plug in these values:
(15.5 - 18) / (6 - 1)
Simplify the parentheses.
= (-2.5) / (5)
Simplify the fraction.
-2.5/5
= -1/2
This is your slope.
Now plug this into the standard slope-intercept equation: y = mx + b
y = -1/2x + b
b is the y-intercept, or the value of y when x = 0.
To find b, we want to plug in a value that we know is on this line: in this case, it is (1, 18). Plug in the x and y values into the x and y of the standard equation.
18 = -1/2(1) + b
To find b, multiply the slope and the input of x (1)
18 = -1/2 + b
Now, add 1/2 to both sides to isolate b.
18.5 = b
Plug this into your standard equation.
y = -1/2x + 18.5
This is your equation.
Hope this helps!
