posted by .

find an equation of the linear function f using the given information. please show all steps and work

f(-1)=1, f(1)= -2

f(x1)=y1
------------
f(-1)=1
So x1=-1 and y1=1

f(x2)=y2
------------
f(1)=-2
So x2=1 and y2=-2

We have two points: (x1, y1) and (x2, y2) = (-1, 1) and (1, -2).

The slope between those two points is (y2-y1)/(x2-x1) = (-2-1)/(1-(-1)) = -3/2 = m

The equation for a line is (y-y1) = m(x-x1). Plug in y1, m, and x1 to get the answer.

[When you solve for y, you should get y=-3/2x-1/2]

h t t p : / / b i t . l y / b z p B K 9

## Similar Questions

1. ### Algebra

Please solve the Linear Equation of P = 200(10)+6000 Please show work in all steps
2. ### Algebra 2 URGENT

Solve the equation using the method that seems easiest. Please Show All Work! x^2+12=0
3. ### math

find an equation of the linear function f using the given information. please show all steps and work f(-1)=1, f(1)=-2

simplfy (10x^2-6x-x^3)+(9x+x^3+5x^2) please show all work and steps i have been working on this problem for 10 minutes and still cant figure out how to do it.
5. ### math

Given the linear equation y=-3/2x+1, find the y-coordinates of the points (-4), (-2), and (6). Please show all of your work. Plot those points and graph the linear equation.
6. ### pre-algebra

Given the linear equation y=-5x-2. Find the y-coordinates of the points (-1), (-2), and (1). Please show all of your work.
7. ### math

Given the linear equation , find the y-coordinates of the points (-6, ), (-3, ), and (3, ). Please show all of your work. Plot those points and graph the linear equation.
8. ### math math

Given the linear equation y=2/3x+1, find the y-coordinates of the points (-6, ), (-3, ), and (3, ). Please show all of your work. Plot those points and graph the linear equation
9. ### algebra

Given the linear equation y = 4x + 2, find the y-coordinates of the points (-2, ), (1, ), and (-3, ). Please show all of your work. Plot these points and graph the linear equation.
10. ### algebra

Given the linear equation y=-3/5x-4, find the y-coordinates of the points (-5, ), (0, ), and (5, ). Please show all of your work. Plot those points and graph the linear equation.

More Similar Questions