Quick-Change QuinnGridwalkers · the coordinate plane, slope and lines

The same pirate in three costumes: point-slope and standard form.

Forms of Linear Equations

Point-slope and standard form. In MathBound, the free Algebra I adventure game, Quick-Change Quinn asks these problems, and the only way past is to solve them.

Part of Linear Functions: chapter 5 of the standard course.

Play this battle free

10 questions, no sign-up, nothing saved. Climbs from the basics to harder questions.

What you will practice

Point-Slope Form. Write a line in point-slope form from a point and a slope.
Standard Form. Rewrite y = mx + b in standard form Ax + By = C, or write one for a two-item total.

Worked examples

Made by the game’s own question engine. Try each one, then open its steps.

Example 1 · Point-Slope Form

Write

an

equation

in

point-slope

form

for

the

line

through

(- 3, - 7)

with

slope

2 .

$y + 7 = - 2 (x + 3)$
$y + 7 = 2 (x + 3)$
$y - 7 = 2 (x - 3)$
$y + 3 = 2 (x + 7)$

Show the worked steps

$Point-slope$ $form$ $is$ $y - y_{1} = m (x - x_{1}) .$
$With$ $(- 3, - 7)$ $and$ $m = 2 : y + 7 = 2 (x + 3) .$

Answer: $y + 7 = 2 (x + 3)$

Example 2 · Standard Form

Write

y = - 3 x - 6

in

standard

form,

A x + B y = C .

$3 x - y = 6$
$3 x - y = - 6$
$3 x + y = - 6$
$3 x + y = 6$

Show the worked steps

$Add$ $3 x$ $to$ $both$ $sides:$ $3 x + y = - 6 .$
$A$ $is$ $already$ $positive.$

Answer: $3 x + y = - 6$

Example 3 · Point-Slope Form

Write

an

equation

in

point-slope

form

for

the

line

with

slope

- 5

that

crosses

the

x -axis

at

x = 5 .

$y = - 5 (x - 5)$
$y = 5 (x - 5)$
$y - 5 = - 5 x$
$y = - 5 (x + 5)$

Show the worked steps

$It$ $crosses$ $the$ $x -axis$ $at$ $(5, 0) .$
$With$ $(5, 0)$ $and$ $m = - 5 : y = - 5 (x - 5) .$

Answer: $y = - 5 (x - 5)$

Where it is in your textbook

Textbook	Lessons
Standard course	5.4, 5.5
Big Ideas Math Algebra 1	3.4, 4.2
Big Ideas Math Algebra 1 (2022)	3.5, 4.2
Carnegie Learning Algebra I	M2 1.2, M2 2.2
CPM Core Connections Algebra	2.3.1, 2.3.2, 3.3.2
CPS Skyline Algebra	2.9, 2.10, 5.3, 8.1-8.2
enVision Algebra 1	2-2, 2-3
enVision Algebra 1 (2024)	2-2, 2-3
Glencoe Algebra 1	3-1, 4-3
HMH Into Algebra 1	3.1, 4.4
Holt McDougal Larson Algebra 1	4.3, 4.4
Illustrative Mathematics Algebra 1	2.10-2.11
Illustrative Mathematics Algebra 1 (v.360)	2.10-2.11
Math Nation Algebra 1 (Florida B.E.S.T.)	3.1, 3.2, 3.4, 4.3, 4.12, 6.8
MVP Mathematics I (Integrated Math 1)	2.10, 4.3, 5.4
Open Up NC Math 1 (MVP)	2.8, 4.3, 5.4
Pearson Algebra 1 Common Core	5-4, 5-5
Reveal Algebra 1	5-2
SpringBoard Algebra 1	12

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