Bell Ringer

Find the equation of the line with:

1. m = 3, b = -2

2. m = -2, b = 5

3. m = 2 (1, 4)

4. m = -3 (-2, 8)

y = 3x – 2

y = -2x + 5

y = -3x + 2

y = 2x + 2

Homework

1. (-1, 5)

2. (0, -1)

3. (-5, -5)

4. (3, 0)

5. (3.5, -7.5)

6. (-3.5, -1)

7. (0.5, 1.5)

8. (-7.5, -3.5)

9. (6.5, -5)

10. (-2.5, -1)

11. (-0.5, -4.5)

12. (-4, 4)

13. (-5.5, 0)

14. (4, 5.5)

15. (1, -6)

The Distance Formula

GRE 504: Find the midpoint of a line segment*GRE 603: Use the distance formula

The Distance Formula

The distance formula is used to find the distance between two points on a coordinate plane.

The Distance Formula

(x1 – x2)2 + (y1 – y2)2d = √

Find the distance!

Find the distance between the coordinates: (2, 4) & (6, 7)

(x1, y1) (x2, y2)

(x1 – x2)2 + (y1 – y2)2

(2 – 6)2 + (4 – 7)2

(-4)2 + (-3)2d = √d = √d = √

16 + 9d = √ = √ 25 d =

5

Find the distance between the points!

Identify the points!(-3, -3) and (5, 3)

Use the formula!.

.

d = (-3 – 5)2 + (-3 – 3)2

d = 10

That’s the

distance!

√d = (-8)2 + (-6)2

d = 64 + 36

√√√d = 100

Find the distance between the points!

Identify the points!(4, -2) and (6, 7)

Use the formula!

.

.

d = (4 – 6)2 + (-2 – 7)2

d = 9.22That’s

the distance!

√d = (-2)2 + (-9)2

d = 4 + 81

√√√d = 85