Question
What is the initial value of b in this table?
X: 1, -3
Y: 4, 8
X: 1, -3
Y: 4, 8
Answers
GPT 3.5
To find the initial value of b, we can use the formula for a line in slope-intercept form:
y = mx + b
Given the values of x and y in the table, we can first calculate the slope, m, using the formula:
m = (y2 - y1) / (x2 - x1)
m = (8 - 4) / (-3 - 1)
m = 4 / -4
m = -1
Now that we have the slope, we can use one of the points in the table to solve for b. Let's use the first point (1, 4):
4 = -1(1) + b
4 = -1 + b
b = 4 + 1
b = 5
Therefore, the initial value of b in this table is 5.
y = mx + b
Given the values of x and y in the table, we can first calculate the slope, m, using the formula:
m = (y2 - y1) / (x2 - x1)
m = (8 - 4) / (-3 - 1)
m = 4 / -4
m = -1
Now that we have the slope, we can use one of the points in the table to solve for b. Let's use the first point (1, 4):
4 = -1(1) + b
4 = -1 + b
b = 4 + 1
b = 5
Therefore, the initial value of b in this table is 5.