Solving Systems of Linear Equations Slope Intercept Form

When you graph the exact same equation twice,

• you will have no solution. 

• you will have one solution.

• you will have infinite solutions. 

• you will graph a giraffe. 

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

• Write both linear equations in slope-intercept form

• Get x by itself

• Compare the slopes of both equations

• Write both equations in standard form

This system has _____ solutions

• 0

• 1

• 2

• Infinitely many

• y= -1x-3
• y= -3x-1
• y=(-1/3)x-1
• y= -3x-3

Write the equation in slope-intercept form?

Mathematical Equivalence

ON

A catering company charges a fixed fee and an additional charge per person.

If I were to rewrite this situation in slope intercept form y=mx+b

The fixed fee represents the: ​ (a)   ​

• y-intercept

• slope

What is the solution to the system?

• (0, 3)

• (1, -1)

• (-3, 1)

• (1, 3)

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

The solution to a system of equations is any ordered pair that makes both equations true. 

• TRUE

• FALSE

What is the solution to this system?

• (-2, -2)

• (2, -2)

• (-2,2)

• (2, 2)