IXL - Slope-intercept form: write an equation from a table (Algebra 1 practice)

Write the linear equation that gives the rule for this table.

x	y
4	39
5	40
6	41
7	42

Write your answer as an equation with y first, followed by an equals sign.

ref_doc_title.

Learn with an example

question

Write the linear equation that gives the rule for this table.

x	y
1	11
2	22
3	33
4	44

Write your answer as an equation with y first, followed by an equals sign.

key idea

Linear functions are of the form y = mx + b.

solution

First find m. Look at the table and notice that every time the x terms go up by 1, the y terms go up by 11. This means that m is equal to 11.

x	y
1	11
2	22
3	33
4	44

Next find b. Take the equation y = mx + b and plug in the m value (m = 11) and a pair of (x, y) coordinates from the table, such as (1, 11). Then solve for b.

mx + b

Plug in m = 11, x = 1, and y = 11

11(1) + b

Plug in m = 11, x = 1, and y = 11

Simplify

11 + b

Simplify

Finally, use the m and b values you found (m = 11 and b = 0) to write the equation.

mx + b

Plug in m = 11 and b = 0

11x + 0

Plug in m = 11 and b = 0

Simplify

11x

Simplify

Now check your answer. Plug in each (x, y) pair in the table, and see if the result is a true statement.

Plug in (1, 11).

11x

11(1)

Plug in (2, 22).

11x

11(2)

Plug in (3, 33).

11x

11(3)

Plug in (4, 44).

11x

11(4)

Each (x, y) pair from the table resulted in a true statement.

So, the linear equation is y = 11x.

Looking for more? Try these:

Lesson: Linear functions

Lesson: Slope

$Confetti$

Excellent!

Now entering the Challenge Zone—are you ready?

Questions
answeredQuestions

Time
elapsedTime

hr	min	sec
00	00	06

SmartScore
out of 100
IXL's SmartScore is a dynamic measure of progress towards mastery, rather than a percentage grade. It tracks your skill level as you tackle progressively more difficult questions. Consistently answer questions correctly to reach excellence (90), or conquer the Challenge Zone to achieve mastery (100)! Learn more

Teacher tools

Work it out

Not feeling ready yet? These can help:

AA.9Write a linear equation from two points

K.3Find the slope from a table

X.9Write an equation from a graph using a table

Lesson: Linear functions

Lesson: Slope

Excellent! You got that right!

Jumping to level 1 of 1

Excellent!