Question

Share7. The table compares the ages, in years, of twocousins.B12Ann's age, Tom's age, y81216a. Write an equation that compares Tomsand Ann's agesY=2Xb. Draw a graph to represent theequation

Answer 1

a. first, find the slope

`m=(y2-y1)/(x2-x1)=(12-8)/(8-4)=(16-12)/(12-8)=(4)/(4)=1`

Slope intercept form:

y= mx+b

where:

m= slope ( rise / run)

b= y-intercept ( where the line crosses the y axis)

so far we have :

y=1x+b

Y= x+b

Replace (x,y ) by a point from the table and solve for b. use, for example, (4,8)

8 = 4 + b

8-4 = b

4 = b

Equation:

y= x+4

b.

GRaph. we know that the line crosses the y-axis at y=4, and since the slope is 1, for every unit to the right along the x axis, the line goes up by 1 unit.