Question

The table shows a linear function, what do you equation represents the function?

F(x)=-5/3x+9
F(x)=-5/3-9
F(x)=5/3x+9
F(x)=9x+5/3

Answer 1

B) f(x) = -3/5x +5

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) = -3/5This 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