Question

Use the table to write a linear function that relates y to x .

Answer 1

y = -3x + 2

Explanation:

The linear equation is in the form

y = mx + b

where m is the slope and b is the y-intercept

the slope can be calculated using two points

Let us have; (-2,8) and (0,2)

The equation of the slope is ;

m = (y2-y1)/(x2-x1) = (2-8)/(0+2) = -6/2 = -3

So for the y-intercept, we select any of the points to substitute

Let us have (0,2)

Substitute this into;

y = -3x + b

2 = -3(0) + b

b = 2

So the equation is;

y = -3x + 2