Question

Find the slope of the line passing through the points: (2,4) and (1,3)

Find the slope of the line passing through the points: (2,7) and (5,6)

Answer 1

1.
`\displaystyle=1`

2.
`\displaystyle -(1)/(3)`

Explanation:

1. (2,4) and (1,3)

The slope formula is
`\displaystyle(y_2-y_1)/(x_2-x_1)`

`\displaystyle y_2=3\\ \displaystyle y_1=4\\ \displaystyle x_2=1\\ \displaystyle x_1=2\\`

`\displaystyle(3-4)/(1-2)=(-1)/(-1)=1`

Therefore, the slope is 1, and the correct answer is 1.

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2. (2,7) and (5,6)

The slope formula is
`\displaystyle(y_2-y_1)/(x_2-x_1)`

`\displaystyle y_2=6\\\displaystyle y_1=7\\\displaystyle x_2=5\\\displaystyle x_1=2\\`

`\displaystyle(6-7)/(5-2)=(-1)/(3)=-(1)/(3)`

Therefore, the slope is -1/3, and the correct answer is -1/3.

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Hope this helps!

Answer 2

1) 3-4/1-2 = 1= slope
2) 6-7/5-2= -1/3= slope