Question
Write a linear equation in the form of y=mx+b for the following table
X Y
5 4
10 15
15. 26
X Y
5 4
10 15
15. 26
Answers
Answered by
GPT 3.5
To find the equation of the line that passes through the points (5,4), (10,15), and (15,26), we first need to find the slope (m) and y-intercept (b) of the line.
First, let's find the slope:
m = (y2 - y1) / (x2 - x1)
Using the points (5,4) and (10,15):
m = (15 - 4) / (10 - 5)
m = 11 / 5
m = 2.2
Now, let's find the y-intercept by substituting the slope and one of the points into the equation y = mx + b:
4 = 2.2(5) + b
4 = 11 + b
b = -7
Therefore, the linear equation in the form of y=mx+b for the given table is:
y = 2.2x - 7
First, let's find the slope:
m = (y2 - y1) / (x2 - x1)
Using the points (5,4) and (10,15):
m = (15 - 4) / (10 - 5)
m = 11 / 5
m = 2.2
Now, let's find the y-intercept by substituting the slope and one of the points into the equation y = mx + b:
4 = 2.2(5) + b
4 = 11 + b
b = -7
Therefore, the linear equation in the form of y=mx+b for the given table is:
y = 2.2x - 7