Find the equation of the linear function represented by the table below in slope-intercept form.
y
x
0
1
2
3
4
-3
0
3
6
9
To find the equation of the linear function using this table, we first need to find the slope (m) and the y-intercept (b).
Using the points (1,0) and (4,-3) from the table:
m = (y2 - y1) / (x2 - x1)
m = (-3 - 0) / (4 - 1)
m = -3 / 3
m = -1
Next, we can substitute the slope into the point-slope formula:
y - y1 = m(x - x1)
y - 0 = -1(x - 1)
y = -x + 1
Therefore, the equation of the linear function represented by the table in slope-intercept form is:
y = -x + 1