Slope-Intercepts Form and Graphing

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

Buzz graphed two lines in order to find the solution to a given system of equations.
What is the solution?

• (-1, 4)

• (1, -4)

• (-4, 1)

• (4, -1)

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
slope-intercept form
of the equation
-8x+2y=4

• none

• y=2-4x

• y=4x+2

• y=4x-8y

write down the equation of the line if

gradient = 3/4
y-intercept = -1/2

What are the steps for graphing a line?

• Plot y-intercept
  count slope ratio plot second point
  Draw the line.

• Make a table
  Plot slope
  Draw line

• Plot two points
  Check slope
  Draw line

• Draw line
  Hope it is right

This system has _____ solutions

• 0

• 1

• 2

• Infinitely many

y= -1x-3

• y= -1x-3

• y= -3x-1

• y=(-1/3)x-1

• y= -3x-3

Parallel Lines never intersect because...

• they have the same slopes. 

• they have the same y-intercept.

• they have different slopes.

• they have different y-intercepts. 

Give the solution to the system.

• (3,1)

• (1,3)

• (-1,3)

• (1, -3)