Question

What is the slope of this question because i don't really get slope

Answer 1

Step 1:

In this question, we are given the following:

Step 2:

The details of the solution are as follows:

Case A:

Line A :

Two points : ( -3, 4) and (-1,0)

`\text{slope,m = }(y_2-y_1)/(x_2-x_1)=\text{ }\frac{0-4}{-1-(-3)\text{ }}\text{ =}(-4)/(-1+3)=(-4)/(2)=-2\text{ (COR}\R ECT)`

Case B:

Line B:

Two points: ( -1, 4 ) and ( 1, 0 )

`\text{slope, m = }(y_2-y_1)/(x_2-x_1)=\text{ }\frac{0-4}{1\text{ - (-1)}}=(-4)/(1+1)=(-4)/(2)=\text{ -2 (COR}\R ECT)`

Case C:

Line C:

Two points: ( 1, 4 ) and ( -1, 0 )

`\text{slope, m = }(y_2-y_1)/(x_2-x_1)=\text{ }(0-4)/(-1-1)=(-4)/(-2)=\text{ 2 ( NOT COR}\R ECT)`

Case D:

Line D:

Two points : ( 3,4 ) and ( 1,0)

`\text{slope, m =}(y_2-y_1)/(x_2-x_1)=(0-4)/(1-3)=(-4)/(-2)=2\text{ (NOT COR}\R ECT)`

CONCLUSION:

We have seen clearly that:

Line A and Line B have a slope of -2