Find an equation for the line that passes through the points (3, -3) and (-3, 6)

y = (3/2)x + 3/2

Step-by-step explanation:

As we move from (-3, 6) to (3, -3), x increases by 6 from -3 to +3 and y decreases by 9 from 6 to -3.  Thus, the slope of the line connecting these two points is m = rise / run = -9/6, or m = -3/2.

Using the slope-intercept equation, y = mx + b, we get

6 = (-3/2)(-3) + b, or b = 6 - 9/2 = b, or b = 3/2, and the desired equation is thus

y = (3/2)x + 3/2

step-by-step explanation:

  y= -3x is the required function.

step-by-step explanation:

we have been given a table:

x             y

0             0

1             -3

3             -9

-2             6

we can see that the values of y is -3 times the value of x

hence, the function would be: y= -3x.

put the values of x will give the same y as in the table that means function is satisfying the given table.