Question

Graph the linear function represented in the table below.

x y
4 -1
5 1
6 3
7 5
You can use this printable graph paper to complete this problem.

Answer 1

y = 2x - 9

Draw a straight line joining:

(0,-9) and (4.5,0)

Explanation:

m = (1 - -1)/(5 - 4) = 2/1 = 2

y = 2x + c

-1 = 2(4) + c

c = -9

y = 2x - 9

When x = 0, y = -9

When y = 0, x = 4.5

Draw a straight line joining:

(0,-9) and (4.5,0)

Answer 2

y = 2x-9

Explanation:

(4,-1) (5,1)(6,3) (7,5)

We can find the slope

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

= (5-3)/(7-6)

=2/1

= 2

The slope is 2

y =mx+b

Substitute a point into the equation

1 = 2(5) +b

1 = 10+b

1 -10 = 10+10 +b

-9 =b

y = 2x-9