Answer:
y = -2x + 12
Step-by-step explanation:
The point-slope equation for a line has the following format:
y = mx + b
In which m is the slope and b is the y-intercept(value of y when x = 0).
(1,10)
This means that when x = 1, y = 10. So
10 = m + b
(5,2)
This means that when x = 5, y = 2. So
2 = 5m + b
From the first equation, b = 10 - m. So
2 = 5m + 10 - m
2 = 4m + 10
4m = -8
m = -2
And
b = 10 - m = 10 - (-2) = 10 + 2 = 12
So
y = -2x + 12
