Step-by-step explanation:
1.) (-2, 3) and (2, 9)
let (-2, 3) be (x1,y1) and (2, 9) be (x2,y2)
slope (m)=<u>y2-y1</u>
x2-x1
=<u>9</u><u>-3</u>
2-(-2)
=<u>9</u><u>-3</u>
2+2
=<u>6</u>
4
=<u>3</u>
2
2.) (0, 7) and (3, 5)
let (0,7) be (x1,y1) and (3,5) be (x2,y2)
slope (m)=<u>y2-y1</u>
x2-x1
=<u>5-7</u>
3-0
=<u>-2</u>
3
3.) (-2, -3) and (2, -1)
let (-2, -3) be (x1,y1) and (2, -1) be (x2,y2)
slope (m)=y2-y1
x2-x1
=-1-(-3)
2-(-3)
=1+3
2+3
=4
5
4.) (-5, -2) and (-3, 8)
let (-5,-2) be (x1,y1) and (-3,8) be (x2,y2)
slope (m)=<u>y2-y1</u>
x2-x1
=<u>8-(-2)</u>
-3-(-5)
=<u>8+2</u>
-3+5
=<u>10</u>
2
=5
5.) (-12, 20) and (-21, 29)
let (-12,20) be (x1,y1) and (-21,29) be (x2,y2)
slope (m)=<u>y2-y1</u>
x2-x1
=<u>29-20</u>
-21-(-12)
=<u>29-20</u>
-21+12
=<u>9</u>
-9
=-1
6.) (11, 8) and (-2, -3)
let (11,8) be (x1,y1) and (-2,-3) be (x2,y2)
slope (m)=<u>y2-y1</u>
x2-x1
=<u>-3-11</u>
-2-8
=<u>-8</u>
-10
=<u>4</u>
-5
