copy each table and complete it by using the corresponding
equation.
y= -x + b
X Y
1 0
2 -1
8 -7
10 ?
20 ?
40 ?
find b first.
when x is 1, y is zero, and b
y=-x+b
0=-(-1)+b
means b is -1
Now, when x is 20, what is y?
y=-20+b=-20-1=-21
Y=2x_5
Y=2x-5
To complete the table using the equation y = -x + b, we need to determine the value of b, which is the y-intercept. The y-intercept is the value of y when x is 0.
Given the point (1, 0), we can substitute the values into the equation and solve for b:
0 = -(1) + b
0 = -1 + b
b = 1
Now that we have the value of b, we can complete the table by substituting the x-values into the equation and solving for y.
To fill in the table:
Table 1:
X Y
1 0
2 -1
8 -7
10 -(10) + 1 -> -9
20 -(20) + 1 -> -19
40 -(40) + 1 -> -39
Therefore, the completed table is:
Table 2:
X Y
1 0
2 -1
8 -7
10 -9
20 -19
40 -39