Answer:
B) f(x) = -3/5x +5
Step-by-step explanation:
There are several ways you can write the equation of a line from a list of points. When you look through the list and see that one of them is the y-intercept, then the problem can be easier. When you look through the list of answers and see that the required answer is in slope-intercept form, then you know all you need to do is find the slope to go with the intercept you've located.
The point (x, f(x)) = (0, 5) tells you the y-intercept is 5.
The slope, the change in y divided by the change in x for two points, is ...
... (-1 -2)/(10 -5) = -3/5
This is the slope and the coefficient of x in the linear equation.
Now, we know the y-intercept (b=5) and the slope (m=-3/5), so we can fill in the slope-intercept form of the equation of a line:
... y = mx + b
... y = (-3/5)x + 5
