2. Find the slope of the line joining points A(4,-8) and B(5,-2)
1. Find the slope of the line joining points `A(4,-8)` and `B(5,-2)`
Solution:
Points are `A(4,-8),B(5,-2)`
`:. x_1=4,y_1=-8,x_2=5,y_2=-2`
Slope of the line, `m=(y_2-y_1)/(x_2-x_1)`
`:. m=(-2+8)/(5-4)`
`:. m=(6)/(1)`
`:. m=6`
2. Find the slope of the line joining points `A(-6,1)` and `B(-3,2)`
Solution:
Points are `A(-6,1),B(-3,2)`
`:. x_1=-6,y_1=1,x_2=-3,y_2=2`
Slope of the line, `m=(y_2-y_1)/(x_2-x_1)`
`:. m=(2-1)/(-3+6)`
`:. m=(1)/(3)`
3. Find the slope of the line joining points `A(3,-2)` and `B(-1,4)`
Solution:
Points are `A(3,-2),B(-1,4)`
`:. x_1=3,y_1=-2,x_2=-1,y_2=4`
Slope of the line, `m=(y_2-y_1)/(x_2-x_1)`
`:. m=(4+2)/(-1-3)`
`:. m=(6)/(-4)`
`:. m=-3/2`
4. Find the slope of the line joining points `A(1,2)` and `B(3,4)`
Solution:
Points are `A(1,2),B(3,4)`
`:. x_1=1,y_1=2,x_2=3,y_2=4`
Slope of the line, `m=(y_2-y_1)/(x_2-x_1)`
`:. m=(4-2)/(3-1)`
`:. m=(2)/(2)`
`:. m=1`
5. Find the slope of the line joining points `A(7,8)` and `B(1,0)`
Solution:
Points are `A(7,8),B(1,0)`
`:. x_1=7,y_1=8,x_2=1,y_2=0`
Slope of the line, `m=(y_2-y_1)/(x_2-x_1)`
`:. m=(0-8)/(1-7)`
`:. m=(-8)/(-6)`
`:. m=4/3`
6. Find the slope of the line joining points `A(2,5)` and `B(8,5)`
Solution:
Points are `A(2,5),B(8,5)`
`:. x_1=2,y_1=5,x_2=8,y_2=5`
Slope of the line, `m=(y_2-y_1)/(x_2-x_1)`
`:. m=(5-5)/(8-2)`
`:. m=(0)/(6)`
7. Find the slope of the line joining points `A(1,2)` and `B(-3,5)`
Solution:
Points are `A(1,2),B(-3,5)`
`:. x_1=1,y_1=2,x_2=-3,y_2=5`
Slope of the line, `m=(y_2-y_1)/(x_2-x_1)`
`:. m=(5-2)/(-3-1)`
`:. m=(3)/(-4)`
`:. m=-3/4`
8. Find the slope of the line joining points `A(-2,0)` and `B(4,8)`
Solution:
Points are `A(-2,0),B(4,8)`
`:. x_1=-2,y_1=0,x_2=4,y_2=8`
Slope of the line, `m=(y_2-y_1)/(x_2-x_1)`
`:. m=(8-0)/(4+2)`
`:. m=(8)/(6)`
`:. m=4/3`
This material is intended as a summary. Use your textbook for detail explanation.
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