The tables of ordered pairs represent some points on the
graphs of lines `f` and`g`. Which system of equations represents lines `f` and `g`?
Line F = X = 2,4,7,11 Y = 7,10.5,15.75,22.75
Line G = -3,-2,1,4 Y = 4,0,-12,-24
Line `f` can be represented by the equation y = 1.75x + 3.5
Line `g` can be represented by the equation y = -8x + 28
Line g is wrong
Apologies for the mistake. Let's re-examine the table for line g:
Line g: (-3,4), (-2,0), (1,-12), (4,-24)
The equation for line g can be found using the slope-intercept form `y = mx + b`, where `m` is the slope and `b` is the y-intercept.
Calculating the slope:
m = (change in y) / (change in x) = (-24 - 4) / (4 - (-3)) = -28 / 7 = -4
Now that we have the slope, we can choose a point from the table to find the y-intercept:
Using the point (-3,4):
4 = -4(-3) + b
4 = 12 + b
b = -8
Therefore, the equation for line g is y = -4x - 8