Question

Can someone help? i can’t figure this out; i’ll give brainliest:))

Answer 1

What we need to memorize when finding the slope is this formula:

$\displaystyle \large{m = \frac{y_2 - y_1}{x_2 - x_1} }$

m here represents the slope. I hope this does not confuse you with line m.

The problem here is that we do not have any given points, but we have a way.

If we notice on the graph, the graph contains or passes through (2,-1) and (-2,1). We can use these points to find the slope. So let these be the following:

$\displaystyle \large{(x_1,y_1) = (2 ,- 1)} \\ \displaystyle \large{(x_2,y_2) = ( - 2 ,1)}$

Then we substitute these points in the formula.

$\displaystyle \large{m = \frac{ 1 - ( - 1)}{ - 2 - 2} }$

negative × negative = positive.

$\displaystyle \large{m = \frac{ 1 + 1}{ - 2 - 2} } \\ \displaystyle \large{m = \frac{ 2}{ - 4} } \longrightarrow \boxed{m = - \frac{1}{2} }$

Since m represents the slope. Therefore, the slope of line m is -1/2