Write an equation from slope-intercept form (y=mx+b) from the table below.
x y
0 5
2 1
4 -3
6 -7
The equation of the table should be : __ x + __
To find the equation in slope-intercept form (y=mx+b), we need to first find the values of m (slope) and b (y-intercept).
From the table, we can see that when x=0, y=5. This gives us the y-intercept, which is b=5.
To find the slope, we can pick any two points from the table and use the formula m = (y2 - y1) / (x2 - x1).
Let's use the points (0, 5) and (2, 1):
m = (1 - 5) / (2 - 0)
m = -4 / 2
m = -2
So the slope, m, is -2.
Now we can write the equation in slope-intercept form:
y = mx + b
Substituting the values of m and b:
y = -2x + 5
Therefore, the equation from the table is y = -2x + 5.