IXL - Point-slope form: write an equation from a graph (Algebra 1 practice)

Look at this graph:

-10

-8

-6

-4

-2

-10

-8

-6

-4

-2

What is the equation of the line in point-slope form?

Use the red point in your equation. Write your answer using integers, proper fractions, and improper fractions in simplest form.

−

(

−

)

ref_doc_title.

Learn with an example

question

Look at this graph:

-10

-8

-6

-4

-2

-10

-8

-6

-4

-2

What is the equation of the line in point-slope form?

Use the red point in your equation. Write your answer using integers, proper fractions, and improper fractions in simplest form.

−

(

−

)

key idea

The point-slope form of a linear equation is

y − y1 = m(x − x1)

where
m
is
the
slope
and
(x1, y1)
is
a
point
on
the
line.

The
slope formula
is
m
=
change in y
change in x
.

solution

First find the slope m. Use the red point (^–5, 6) and another point, such as (0, 7). Plug those points into the slope formula.

change in y

change in x

Plug in (^–5, 6) and (0, 7)

7 − 6

0 − ^–5

Plug in (^–5, 6) and (0, 7)

Simplify

Now
use
the
red
point
(^–5, 6)
and
the
slope
m
=
1
5
to
write
the
equation
in
point-slope
form.

y − y1

m(x − x1)

Plug
in
y1
= 6
,
m
=
1
5
,
and
x1
= ^–5

y − 6

(

−

^–5

)

Plug
in
y1
= 6
,
m
=
1
5
,
and
x1
= ^–5

The
equation
of
the
line
in
point-slope
form
is
y
− 6
=
1
5
(
x
− ^–5
)
.

Looking for more? Try these:

Lesson: Point-slope form

$Confetti$

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:

L.15Point-slope form: write an equation

K.1Find the slope of a graph

Lesson: Point-slope form

Excellent! You got that right!

Jumping to level 1 of 1

Excellent!