Line from Slope and a Point

Graph the equation: y – 4 = –1(x + 2)

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Convert the equation to slope-intercept form: y - 5 = 3 ( x + 2 )

• y = 3x + 8

• y = 3x + 11

• y = 3x + 1

• y = 3x - 8

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Write an equation in point slope form:

• y - 3 = 3 ( x - 2 )

• y - 3 = 1/3 ( x - 2 )

• y - 2 = - 3 ( x - 3 )

• y - 2 = 3 ( x - 3 )

Convert the equation to slope-intercept form: y + 4 = 4/5 ( x - 5 )

• y = 4/5x - 8

• y = 4/5x + 8

• y = 4/5x - 4

• y = 4/5x + 4

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

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

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. 

Tags

CCSS.8.EE.C.8A

What is the strategy for graphing point-slope form?

• Graph the y-intercept, then use the slope to move.

• Divide to find the x- and y-intercepts.

• Graph the given point, then move according to slope.

Select all of the following equations in point-slope form.

• y - 2 = 5(x - 2)

• 3x + 2y = 12

• y + 2 = 1/4(x + 4)

• y = 4x + 6

• 2y = 5x - 7

Explain how to graph the following equation...

y - 2 = 1/3(x - 3)

• Plot the point (−3,−2), move up 1 and right 3 units from there.

• Plot the point (3,2), move up 1 and left 3 units from there.

• Plot the point (3,2), move up 1 and right 3 units from there.

• Plot the point (2,3), move up 1 and right 3 units from there.

For the equation y + 1 = −3(x - 5), the line contains the point (5, −1), but what is the slope?

• −1

• 3

• −3

• 5