4.3 Point-Slope Review Lesson Slides: 8 Slides

8 Slides • 13 Questions

1

4.3 Point-Slope Review

2

Slope - Intercept Form

the original one

y=mx+b

Good if it hits the y-axis

on a whole number.

3

Point - Slope form

new one

y-y₁=m(x-x₁)

Good if it hits the y-axis in the middle. Like a decimal or fraction.

4

Multiple Choice

Which one is Point-Slope form?

1

$y=mx+b$

2

$y-y_1=m\left(x-x_1\right)$

5

Multiple Choice

Which one is Slope-Intercept Form

1

$y=mx+b$

2

$y-y_1=m\left(x-x_1\right)$

6

Multiple Choice

Which form would you use?

1

$y=mx+b$

2

$y-y_1=m\left(x-x_1\right)$

7

Multiple Choice

Which form would you use?

1

slope-intercept

2

point-slope

8

Multiple Choice

Point Slope Form

y-y_1=m\left(x-x_1\right)

Find the equation of the line through (5,6) and slope = 7

1

y+6=7(x+5)

2

y+5=7(x+6)

3

y-6=7(x-5)

4

y+5=7(x+6)

9

Multiple Choice

Point Slope Form

y-y_1=m\left(x-x_1\right)

Find the equation of the line through (-3,-1) and slope = -2/5

1

y+1=-2/5(x+3)

2

y+3=-2/5(x+1)

3

y-1=-2/5(x-3)

4

y+3=-2/5(x+1)

10

Multiple Choice

What is the slope of the line

y=-2x-3

1

2

-2

3

4

-3

11

Multiple Choice

What is the slope of the line

y-5=4\left(x+2\right)

1

2

4

3

5

12

Parallel lines are two lines that never touch. They go in same direction.

Same slope

13

14

Multiple Choice

True or False?

Parallel lines have the same slope?

1

True

2

False

15

Multiple Choice

What is the equation of a line parallel to y=2x+3 and goes through the point (4,5)

1

y-2=3(x-4)

2

y-4=3(x-5)

3

y-5=2(x-3)

4

y-4=2(x-5)

16

Perpendicular Lines make a right angle. They have opposite reciprocal slopes.

We have to change slope.

Remember flip it and switch signs

17

18

19

Multiple Choice

What is opposite reciprocal of 3/5?

1

3/5

2

5/3

3

-5/3

20

Multiple Choice

What is opposite reciprocal of -2?

1

2

1/2

3

-1/2

21

Multiple Choice

What is a line perpendicular to y=3/4x+10 and through point (5,6)?

1

y-6=3/4(x-5)

2

y-6=-3/4(x-5)

3

y-6=4/3(x-5)

4

y-6=-4/3(x-5)

4.3 Point-Slope Review

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