Question

Identify the equation of the linear function through the points (-1,3) and (2, -3). Than state that the rate of change of the function.

Answer 1

y = -2x + 1

Rate of change is the slope,

Which is -2

Explanation:

Slope: (-3-3)/(2--1) = -6/3 = -2

y = -2x + c

3 = -2(-1) + c

c = 1

y = -2x + 1

Rate of change is the slope,

Which is -2

Answer 2

y = -2x+1

rate of change -2

Explanation:

The rate of change of a linear function is the slope

m = (y2-y1)/(x2-x1)

= (-3-3)/(2--1)

= (-3-3)/(2+1)

=-6/3

=-2

We can use point slope form

y-y1 = m(x-x1)

y-3 = -2(x--1)

y-3 = -2(x+1)

Distribute

y-3 = -2x -2

Add 3 to each side

y-3 +3 = -2x-2+3

y = -2x+1