Question

How do you find the slope given P1(–1, 1) and P2(4, –4)?

Answer 1

`"slope "= -1`

Explanation:

The slope (gradient) is: `" "("change in y-axis")/("change in x-axis") = m`

Given:
Point 1 `->P_1->(x_1,y_1)->(-1,1)`
Point 2`->P_2->(x_2,y_2)->(4,-4)`

Gradient`=m-> (y_2-y_1)/(x_2-x_1)=((-4)-1)/(4-(-1))`

`m=(-5)/(5)= -1`
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Note
Two minus signs next to each other make a plus.

A minus and a plus next to each other make a minus.

In divide, if the signs are different then then the answer is minus.
In divide, if the signs are the same then the answer is plus.