Find the slope of the graph of the linear function f f(-1)= -4, f(-2)= 0
You need to write the equation of the linear function in slope intercept form:
y=mx + b
m denotes the slope
y denotes the y intercept
Since you know the coordinates of two points that belong to the graph of function, you may find the slope of the line using the formula: `m = (y_2 - y_1)/(x_2 - x_1) `
`` `m = (0 + 4)/(-2 + 1) =gtm = 4/(-1) =gt m = -4`
You may also find the slope solving for m and b the system of equations:
f(-1) = -4 => -4 = -m + b
f(-2) = 0 => 0 = -2m + b => b = 2m
Replacing b by 2m in the first equation yields:
-m + 2m = -4 => m = -4.
The slope of the line is m = -4.