0, 12) is your (x1, y1) and (4, 16.2) is your (x2, y2 now calculate your slope
The formula for calculating the slope (m) of a line using two points (x1, y1) and (x2, y2) is:
m = (y2 - y1) / (x2 - x1)
Substituting the given values:
m = (16.2 - 12) / (4 - 0)
m = 4.2 / 4
m = 1.05
Therefore, the slope is 1.05.
whats the equation?
To find the equation of a line when given two points (x1, y1) and (x2, y2), you can use the point-slope form of a line:
y - y1 = m(x - x1)
Substituting the values:
Using point (0, 12) as (x1, y1):
y - 12 = 1.05(x - 0)
y - 12 = 1.05x
Simplifying, you can write the equation in slope-intercept form:
y = 1.05x + 12
Therefore, the equation of the line is y = 1.05x + 12.
To calculate the slope between two points (x1, y1) and (x2, y2), you can use the formula:
slope = (change in y)/(change in x)
In this case, the change in y is y2 - y1, and the change in x is x2 - x1.
Given that (x1, y1) = (0, 12) and (x2, y2) = (4, 16.2), we can calculate the slope as follows:
change in y = 16.2 - 12 = 4.2
change in x = 4 - 0 = 4
slope = (4.2)/(4) = 1.05
Therefore, the slope between the points (0, 12) and (4, 16.2) is 1.05.