Graphing Systems of Linear Equations

Froggy Jumps

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About this activity

Solve by graphing two lines.

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Riegnjel Biato

Philippines

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1	Riegnjel Biato February 14, 2026	% 60	01:37
2	Sarah Elaija P. Hufancia June 28, 2026	% 40	01:22

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Froggy Jumps Graphing Systems of Linear EquationsOnline version Solve by graphing two lines. by Riegnjel Biato 1 What does the intersection point of two graphs represent in a system of equations? a A false equation b The slope of both lines c The solution to the system 2 If two lines are parallel, what is the solution to the system? a One unique solution b No solution c Infinitely many solutions 3 When graphing ax + by = c in slope-intercept form, what is y? a y = (-a/b)x + c/b b y = c/(a+b) x c y = (b/a)x + c/a 4 Which method does graphing use to solve a system? a Find the intersection of the two lines b Guess and check c Eliminate variables algebraically 5 If two lines intersect at (2, -3), what is the solution? a (3, -2) b (-2, 3) c (2, -3) 6 What does a single point of intersection indicate about the system? a No solution b One unique solution c Infinitely many solutions 7 Which graphing scenario yields infinitely many solutions? a Two identical lines b Two perpendicular lines c Two parallel distinct lines 8 How can you determine the solution from the graph? a Use y-intercept only b Estimate from axes c Read the coordinates of the intersection 9 Which form helps to graph quickly for a system? a Slope-intercept form y = mx + b b Standard form ax + by = c c Vertex form y = a(x-h)^2 + k 10 Two lines are perpendicular. What is true about their slopes? a Both zero b They are equal c Their slopes are negative reciprocals

Froggy Jumps

Graphing Systems of Linear EquationsOnline version

Solve by graphing two lines.

by Riegnjel Biato

What does the intersection point of two graphs represent in a system of equations?

A false equation

The slope of both lines

The solution to the system

If two lines are parallel, what is the solution to the system?

One unique solution

No solution

Infinitely many solutions

When graphing ax + by = c in slope-intercept form, what is y?

y = (-a/b)x + c/b

y = c/(a+b) x

y = (b/a)x + c/a

Which method does graphing use to solve a system?

Find the intersection of the two lines

Guess and check

Eliminate variables algebraically

If two lines intersect at (2, -3), what is the solution?

(3, -2)

(-2, 3)

(2, -3)

What does a single point of intersection indicate about the system?

No solution

One unique solution

Infinitely many solutions

Which graphing scenario yields infinitely many solutions?

Two identical lines

Two perpendicular lines

Two parallel distinct lines

How can you determine the solution from the graph?

Use y-intercept only

Estimate from axes

Read the coordinates of the intersection

Which form helps to graph quickly for a system?

Slope-intercept form y = mx + b

Standard form ax + by = c

Vertex form y = a(x-h)^2 + k

Two lines are perpendicular. What is true about their slopes?

Both zero

They are equal

Their slopes are negative reciprocals

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Graphing Systems of Linear Equations

Froggy Jumps

About this activity

Created by

Download the paper version to play

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Froggy Jumps

Graphing Systems of Linear EquationsOnline version

by Riegnjel Biato

What does the intersection point of two graphs represent in a system of equations?

If two lines are parallel, what is the solution to the system?

When graphing ax + by = c in slope-intercept form, what is y?

Which method does graphing use to solve a system?

If two lines intersect at (2, -3), what is the solution?

What does a single point of intersection indicate about the system?

Which graphing scenario yields infinitely many solutions?

How can you determine the solution from the graph?

Which form helps to graph quickly for a system?

Two lines are perpendicular. What is true about their slopes?

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