Answer:
y = -2x + 12
Explanation:
First you want to find the slope of the line that passes through these points. To find the slope of the line, we use the slope formula: (y₂ - y₁) / (x₂ - x₁)
I will use the first point (1, 10) and the last point (5, 2)
Plug in these values:
(2 - 10) / (5 - 1)
Simplify the parentheses.
= (-8) / (4)
Simplify the fraction.
-8/4
= -2
This is your slope. Plug this value into the standard slope-intercept equation of y = mx + b.
y = -2x + b
To find b, we want to plug in a value that we know is on this line: in this case, I will use the last point (5, 2). Plug in the x and y values into the x and y of the standard equation.
2 = -2(5) + b
To find b, multiply the slope and the input of x(5)
2 = -10 + b
Now, add 10 to both sides to isolate b.
12 = b
Plug this into your standard equation.
y = -2x + 12
This is your equation.
Check this by plugging in the other point you have not checked yet (1, 10).
y = -2x + 12
10 = -2(1) + 12
10 = -2 + 12
10 = 10
Your equation is correct.
Hope this helps!