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5.3 Slope-intercept form. Identify slope and y-intercept of the graph & graph an equation in slope-intercept form. day 2. Write an equation of the line in slope-intercept form that passes through the points (2,1) and (5,-8). y = mx + b.

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5 3 slope intercept form

5.3 Slope-intercept form

Identify slope and y-intercept of the graph & graph an equation in slope-intercept form.

day 2

slide2

Write an equation of the line in slope-intercept form that passes through the points (2,1) and (5,-8).

y = mx + b

(x1, y1) (x2, y2)

y = -3x + 7

m = ___-___

-

-8

1

= -9

= -3

m =

b =

-3

2

3

5

7

x =

y =

2

Solve for b:

1

y = mx + b

1= -3( 2) + b

1= -6+ b

7= b

slide3

Write an equation of the line in slope-intercept form that passes through the points (-3,4) and (2,-1).

y = mx + b

(x1, y1) (x2, y2)

y = -1x + 1

m = ___-___

-

-1

4

= -5

= -1

m =

b =

-1

-3

5

2

1

x =

y =

-3

Solve for b:

4

y = mx + b

4= -1( -3) + b

4= 3+ b

1= b

slide4

Steps to graph an equation in slope-intercept form.

y = mx + b

y = ¾x + 1

  • Identify m and b
  • m =
  • b =

¾

1

2. Put the y-intercept (b) on the y-axis.

  • Use your slope to get to the next point.

Rise ---if positive: go up; if negative: go down

Run--- go to the right

4. Connect the points.

slide5

Steps to graph an equation in slope-intercept form.

y = mx + b

y = 3x

  • Identify m and b
  • m =
  • b =

3

1

3=

0

2. Put the y-intercept (b) on the y-axis.

  • Use your slope to get to the next point.

Rise ---if positive: go up; if negative: go down

Run--- go to the right

4. Connect the points.

slide6

Steps to graph an equation in slope-intercept form.

y = mx + b

y = 4

  • Identify m and b
  • m =
  • b =

0

4

2. Put the y-intercept (b) on the y-axis.

  • Use your slope to get to the next point.

Rise ---if positive: go up; if negative: go down

Run--- go to the right

4. Connect the points.

slide7

Write an equation in slope-intercept form.

y = mx + b

  • Identify m and b
  • m =
  • b =

-1

4

y = -1x + 4

Or y = -x + 4

slide8

Assignment:

page 312: 22-34,37-39, 48,49

Note: 27: will have a decimal for the y-intercept