Question

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Answer 1

Step-by-step explanation:

1)from the given figure

the points are ( -1,1) and (3,3)

Slope (m)=y2-y1/x2-x1

=>m=(3-1)/(3+1)

=]m=2/4

=>m=1/2

Slope =1/2

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2) From the given figure

the points are (1,0) and (4,1)

Slope=y2-y1/x2-x1

=>m=(1-0)/(4-1)

=>m=1/3

Slope=1/3

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3)From the given figure

The points are (2,3) and (4,5)

Slope=y2-y1/x2-x1

=>m=(5-3)/(4-2)

=>m=2/2

=>m=1

Slope=1

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Answer 2

For the Figure 1.

For the left side roof

$\bf \:Run = 4$

$\bf \:Rise = 2$

$\bf \:slope = \dfrac{Rise}{Run} = \dfrac{2}{4} = \dfrac{1}{2}$

For the right side roof :-

$\bf \:Rise = 2$

$\bf \:Run = - 4$

$\bf \:slope = \dfrac{Rise}{Run} = - \dfrac{2}{4} = - \dfrac{1}{2}$

For Figure 2.

For the left side roof :-

$\bf \:Rise = 1$

$\bf \:Run = 3$

$\bf \:slope = \dfrac{Rise}{Run} = \dfrac{1}{3}$

For the right side roof :-

$\bf \:Rise = 1$

$\bf \:Run = - 3$

$\bf \:slope = \dfrac{Rise}{Run} = - \dfrac{1}{3}$

For Figure 3 :-

For the left side of roof :-

$\bf \:Rise = 2$

$\bf \:Run = 2$

$\bf \:\bf \:slope = \dfrac{Rise}{Run} = \dfrac{2}{2} =1$

For the right side roof :-

$\bf \:Rise = 2$

$\bf \:Run = - 2$

$\bf \:slope = \dfrac{Rise}{Run} = - \dfrac{2}{2} = - 1$

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$\bf \:Answer :- 1 \: slope = \dfrac{1}{2}$

$\bf \:Answer :- 2 \: slope = \dfrac{1}{3}$

$\bf \:Answer :- 3 \: slope = 1$