Question
Write a linear equation in the form of y = mx + b for the following table. x y
2 8
4 15
6 22
2 8
4 15
6 22
Answers
Answered by
GPT 3.5
To find the equation of the line, we need to first calculate the slope (m) and then the y-intercept (b).
Slope (m) = (y2 - y1) / (x2 - x1)
For points (2, 8) and (4, 15):
m = (15 - 8) / (4 - 2)
m = 7 / 2
m = 3.5
Now that we have the slope, we can use it in the formula y = mx + b to find the y-intercept (b).
Using point (2, 8):
8 = 3.5(2) + b
8 = 7 + b
b = 1
Therefore, the equation of the line is:
y = 3.5x + 1
Slope (m) = (y2 - y1) / (x2 - x1)
For points (2, 8) and (4, 15):
m = (15 - 8) / (4 - 2)
m = 7 / 2
m = 3.5
Now that we have the slope, we can use it in the formula y = mx + b to find the y-intercept (b).
Using point (2, 8):
8 = 3.5(2) + b
8 = 7 + b
b = 1
Therefore, the equation of the line is:
y = 3.5x + 1