Search Header Logo
Lines so Far

Lines so Far

Assessment

Presentation

•

Mathematics

•

8th Grade

•

Medium

Created by

Victoria Wagenaar

Used 5+ times

FREE Resource

11 Slides • 11 Questions

1

Lines so far

Slide image

2

The Rule y=mx+c

  • m= gradient

  • c = y-intercept

Slide image

3

Gradient

  • rise = 2

  • run= 2

  • m=rise/run

  • m=2/2

  • m=1

Slide image

4

y-intercept (c)

  • point where the line cuts the y-axis

  • y-intercept = (0,2)

  • c=+2



Slide image

5

Put it together

  • m=1

  • c=+2

  • y=mx+c

  • y=x+2

Slide image

6

Multiple Choice

Question image

What is the gradient

1

m=2

2

m=1

3

m=12m=\frac{1}{2}

4

m=-2

7

Multiple Choice

Question image

What is the y-intercept

1

c=3c=3

2

c=−3c=-3

3

c=0c=0

4

c=1c=1

8

Multiple Choice

Question image

Put it together. What is the rule

1

y=−2x+3y=-2x+3

2

y=2x−3y=2x-3

3

y=−2x−3y=-2x-3

4

y=−3x+2y=-3x+2

9

Multiple Choice

Question image

What is the rule

1

y=−2x+3y=-2x+3

2

y=2x+3y=2x+3

3

y=12x+3y=\frac{1}{2}x+3

4

y=−12x+3y=-\frac{1}{2}x+3

10

Rule from a Table

  • m=change in y/change in x

  • c is added to make the y value

Slide image

11

Gradient (m)

  • change in y =+2

  • change in x = +1

  • m=2/1

  • m=2

Slide image

12

Use the point (1,5)

  • m=2

  • y=mx+c

  • 5=2(1)+c

  • 5=2+3

  • c=+3

Slide image

13

Put it together:

  • m=2

  • c=+3

  • y=mx+c

  • y=2x+3


14

Multiple Choice

Question image

What is the gradient?

1

m=13m=\frac{1}{3}

2

m=3m=3

3

m = 7

4

m=-3

15

Multiple Choice

Using the point (1,4) with m=3 for the rule y=mx+c what is c?

1

c = 1

2

c=3

3

c=−1c=-1

4

c = 4

16

Multiple Choice

If m=3 and c=+1 what is the rule

1

y=x+3

2

y=3x+1

3

y=3x -1

4

y=x-3

17

Multiple Choice

Question image

What is the rule?

1

 y=12x+8y=\frac{1}{2}x+8  

2

 y=−12x+8y=-\frac{1}{2}x+8  

3

 y=−12x+7y=-\frac{1}{2}x+7  

4

 y=−12x+9y=-\frac{1}{2}x+9  

18

Given a rule check the points agree

  • the y value is found by using the rule on the x value

  • a rule y=2x+3

  • multiply x by 2 then +3

  • If x =5

  • y=2 x 5 +3

  • y=13

  • (5,13) lies on the line with the rule y=2x+3

19

Rule y=−2x+4y=-2x+4   

  • Does (3,8) lie on the line 

  •  y=−2×3+4y=-2\times3+4  

  •  y=−2y=-2  

  •  (3,−2)\left(3,-2\right)  agrees with the rule

  •  (3,8) \left(3,8\right)\   does not agree with the rule

  • (3,8) does not lie on the line


20

Multiple Choice

Does (2,9) lie on the line  y=2x+7y=2x+7  ?

1

Yes 

2

No (2,11) lies on the line

3

No (2, 10) lies on the line

21

Multiple Choice

 y=5x−9y=5x-9  Does (2,1) lie on the line

1

Yes 

2

No 

3

No (2,9) lies on the line

22

Multiple Choice

 y=−2x+4y=-2x+4  Which point lies on the line

1

 (−2,4)\left(-2,4\right)  

2

 (2,0)\left(2,0\right)  

3

 (1,4)\left(1,4\right)  

4

 (0,−4)\left(0,-4\right)  

pattern-tertiary

Lines so far

Slide image

Show answer

Auto Play

Slide 1 / 22

SLIDE