Exercise 5 Page 212

Use the Slope Formula to find the slope m.

m: 1/2
b: -2

Practice makes perfect

We have been told that the graph of a linear function passes through the points (6,1) and (- 2,- 3).

Let's recall the slope-intercept form of a linear function. y= mx+ b We have been given a list of possible values for m and b. We will first determine the equation ourselves. After that we will identify the correct values. Let's substitute the given points into the Slope Formula to find the slope m.

m = y_2-y_1/x_2-x_1

SubstitutePoints

Substitute ( -2,-3) & ( 6,1)

m=-3- 1/-2- 6

SubTerms

Subtract terms

m=-4/-8

DivNegNeg

- a/- b=a/b

m=1/2

The slope of the line is 12. To find b we will substitute this value together with one of the given points into the equation of the line. Let's use the point (6,1).

y=mx+b

SubstituteValues

Substitute values

1= 1/2( 6)+b

▼

Solve for b

Multiply

1=3+b

SubEqn

LHS-3=RHS-3

-2=b

RearrangeEqn