Dot-to-Dot DoraGridwalkers · the coordinate plane, slope and lines

Joins her dots with one straight stroke: graphing linear equations.

Graph Linear Equations

Graphing linear equations. In MathBound, the free Algebra I adventure game, Dot-to-Dot Dora 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

Solutions and Graphs. Recognize that every solution to a linear equation represents a point on its graph.
Graph by Plotting Points. Graph a linear equation solved for y by creating a table of integer points.
Vertical and Horizontal Lines. Graph a horizontal line given an equation of the form y = b.

Worked examples

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

Example 1 · Solutions and Graphs

The

point

(k, - 7)

lies

on

the

graph

of

y = 2 x + 3 .

What

is

k ?

$- 11$
$- 5$
$5$
$- 10$

Show the worked steps

$On$ $the$ $graph$ $means$ $it$ $solves$ $the$ $equation:$ $- 7 = 2 k + 3 .$
$2 k = - 10,$ $so$ $k = - 5 .$

Answer: $- 5$

Example 2 · Graph by Plotting Points

You

are

graphing

y = 4 x + 1

by

plotting

points.

Which

point

is

on

the

line?

$(9, 2)$
$(2, 11)$
$(2, 9)$
$(2, 7)$

Show the worked steps

$Choose$ $x = 2$ $and$ $work$ $out$ $y .$
$y = 4 (2) + 1 = 9 .$

Answer: $(2, 9)$

Example 3 · Vertical and Horizontal Lines

Which

describes

the

graph

of

y = - 2 ?

$A$ $horizontal$ $line$ $through$ $(0, - 2)$
$A$ $horizontal$ $line$ $through$ $(- 2, 0)$
$A$ $vertical$ $line$ $through$ $(0, - 2)$
$A$ $vertical$ $line$ $through$ $(- 2, 0)$

Show the worked steps

$y = - 2$ $fixes$ $y$ $at$ $- 2$ $whatever$ $x$ $does.$
$That$ $is$ $a$ $horizontal$ $line$ $crossing$ $the$ $y -axis$ $at$ $- 2 .$

Answer: $A$ $horizontal$ $line$ $through$ $(0, - 2)$

Where it is in your textbook

Textbook	Lessons
Standard course	5.1
Big Ideas Math Algebra 1	3.4
Big Ideas Math Algebra 1 (2022)	3.5
CPM Core Connections Algebra	2.1.1, 2.1.4
enVision Algebra 1	2-3
enVision Algebra 1 (2024)	2-3
Eureka Math Algebra I (EngageNY)	1.20-1.21
Glencoe Algebra 1	3-1
HMH Into Algebra 1	3.1
Holt McDougal Larson Algebra 1	1.8, 3.2, 4.4
Illustrative Mathematics Algebra 1	2.1-2.5
Illustrative Mathematics Algebra 1 (v.360)	2.1-2.5
Math Nation Algebra 1 (Florida B.E.S.T.)	3.2, 4.5, 5.6
OpenStax Elementary Algebra 2e	4.2
Pearson Algebra 1 Common Core	4-4, 5-5
Reveal Algebra 1	4-1

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