Graphing from Tables

What is the slope (constant rate) in the equation y = mx + b

for the table shown.

Hint: change in y values/ change in x values

• 1/2

• 4/1

• -1

• 1

Answer explanation

The slope (aka constant rate) is 1.

You can either find the slope by

Finding the constant change for y and x

on the table (see image)

You can also pick 2 points from the table

and subtract the y values in the top and

the x values in the bottom.

Which equation corresponds to the table shown.

Hint- y = mx + b where m = slope (constant rate) and

b = y-intercept (the y-intercept is always when x = 0)

OR

You can plug in the points (x,y) into each equation to see which one works :)

Answer explanation

y = -x - 5

Plug in values for x to check.

(-3,-2) y = -(-3) - 5

y= 3 - 5

y= -2

(-1,-4) y = -(-1) - 5

y = 1 - 5

y = -4

(4,-9) y = -(4) - 5

y= -4 - 5

y= -9

(12,-17) y = -(12) - 5

y = -12 - 5

y = -17

The table shows the x and y values for the equation

y = x - 6.

What is the missing number?

Hint: Plug in given value for x to solve to find y.

• 12

• 10

• 14

• 13

Answer explanation

y = x - 6

x = 18 y = 18 - 6

y = 12

What is the y-intercept or b in the equation y =mx + b?

Hint- this is where it crosses the y-axis.

• 5

• 1

• • 0

• 6

Answer explanation

y intercept is 5 because x = 0 and it crosses the y-axis at (0,5)

Which equation matches the table?

• y = 3x + 9

• y = x + 9 

• y = x + 3

• y = 12x - 3

Find the missing f(x)-value:

• 10

• -10

• 8

• -8

Find the missing  x-value:

• -14

• 14

• 4

• -4

Find the missing f(x) value:

• 10

• -2

• -1

• 2

Find the missing f(x) value:

• 15

• -15

• 1

• -1

Find the missing h(x) value:

• 8

• -2

• 26

• -14