Question

Find the equation of the linear function represented by the table below in slope-

intercept form.

Answer 1

y=-3x-5.

Explanation:

1) the slope-intercetion form is: y=s*x+i, where 's' and 'i' are slope and interception - unknown numbers;

2) if A(-2;1) and B(2;-11), then the slope can be calculated:

`s=(Y_B-Y_A)/(X_B-X_A)=(-11-1)/(2+2)=-3;`

3) midpoint of AB has coordinates (0;'i') - interception point , where i - needed number. Then i=1/2*(-11+1)=-5;

4) If s=-3 and i=-5, then the required equation is:

y=-3x-5.