Find the slope of the graph of the linear function f f(-1)= -4, f(-2)= 0

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sciencesolve's profile pic

sciencesolve | Teacher | (Level 3) Educator Emeritus

Posted on

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.

Wiggin42's profile pic

Wiggin42 | Student, Undergraduate | (Level 2) Valedictorian

Posted on

f(-1)= -4, f(-2)= 0 

slope is equal to the change in y / change in x 

so we have: 

0 - -4 / - 2 - -1

= 4 / -1

= -4

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