Parallel Lines never intersect because...

they have the same y-intercept.

they have different y-intercepts.

Parallel Lines never intersect because...

they have the same y-intercept.

they have different y-intercepts.

What is the first step in solving a system by graphing?

Write both linear equations in slope-intercept form

Compare the slopes of both equations

Write both equations in standard form

Rewrite the equation in slope-intercept form 6 y = 2 x − 3 6y=2x-3 6 y = 2 x − 3

y = 1 3 x − 1 2 y=\frac{1}{3}x-\frac{1}{2} y = 3 1 x − 2 1

y = 1 3 x + 1 2 y=\frac{1}{3}x+\frac{1}{2} y = 3 1 x + 2 1

y = − 1 3 x − 1 2 y=-\frac{1}{3}x-\frac{1}{2} y = − 3 1 x − 2 1

y = 1 3 x + 1 2 y=\frac{1}{3}x+\frac{1}{2} y = 3 1 x + 2 1

Rewrite the equation in slope-intercept form 4 y = 8 x + 3 4y=8x+3 4 y = 8 x + 3

y = 2 x + 3 4 y=2x+\frac{3}{4} y = 2 x + 4 3

y = 2 x − 3 4 y=2x-\frac{3}{4} y = 2 x − 4 3

y = − 2 x + 3 4 y=-2x+\frac{3}{4} y = − 2 x + 4 3

y = − 2 x − 3 4 y=-2x-\frac{3}{4} y = − 2 x − 4 3

When you graph the exact same equation twice,

you will have infinite solutions.

Rewrite the equation in slope-intercept form 3 y − 4 x = 6 3y-4x=6 3 y − 4 x = 6

y = 4 3 x + 2 y=\frac{4}{3}x+2 y = 3 4 x + 2

y = − 4 3 x − 2 y=-\frac{4}{3}x-2 y = − 3 4 x − 2

y = − 4 3 x + 2 y=-\frac{4}{3}x+2 y = − 3 4 x + 2

y = 3 4 x − 2 y=\frac{3}{4}x-2 y = 4 3 x − 2

solving systems of equations by graphing

Authored by Nirmal Guragai

Mathematics

9th Grade

CCSS covered

Used 17+ times

solving systems of equations by graphing

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35 questions

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MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the solution to the system?

(0, 3)

(1, -1)

(-3, 1)

(1, 3)

Tags

CCSS.8.EE.C.8B

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Find the slope

-2/3

3/2

-3/2

2/3

Tags

CCSS.8.EE.B.5

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What is the solution?
(Hint: Both lines are graphed over each other)

One Solution

No solution

Infinitely Many Solutions

Tags

CCSS.8.EE.C.8A

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

The solution is:

(4, 3)

(3, 4)

(-4, 3)

No solution

Tags

CCSS.8.EE.C.8B

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How can you tell if a point is a solution to a system?

It makes the first equation true.

The (x,y) coordinates satisfy both equations

It makes logical sense

It makes neither equation negative

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

This system has _____ solutions

Infinitely many

Tags

CCSS.8.EE.C.8B

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Solve the system of equations by graphing.

(2, 1)

No Solution

Infinitely Many Solutions

(1, 2)

Tags

CCSS.8.EE.C.8B

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solving systems of equations by graphing

What is the solution to the system?

Find the slope

What is the solution?(Hint: Both lines are graphed over each other)

The solution is:

How can you tell if a point is a solution to a system?

This system has _____ solutions

Solve the system of equations by graphing.

These two lines intersect at _____.

Parallel Lines never intersect because...

Solve the system of equations by graphing.

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What is the solution?
(Hint: Both lines are graphed over each other)