Answer:
[tex]slope=-2[/tex]
Step-by-step explanation:
Alrighty, I would love to help. So with slopes, we usually are given t-tables as such to determine how a line will look on a coordinate plane. When given the lines, we use the formula:
[tex]\frac{rise}{run}[/tex]
Although, we are given the coordinates instead which our formula then is:
[tex]\frac{y_{2-y_{1} } }{x_{2}-x_{1} }[/tex]
Although this may look confusing all it is saying is that we are going to do the following:
We have coordinates (-1,1) and (0,-1)
By applying the formula given earlier, all it is saying is that we are going to take -1-1 and 0-1 like such:
[tex]\frac{y_{2-y_{1} } }{x_{2}-x_{1} } \\\\\frac{-1-1}{0-1} \\-1-1=-2\\0-(-1)=1\\slope=\frac{-2}{1} \\slope=-2[/tex]
When working with fractions, any number over 1 is just the numerator(top number) say if we had 10/1, then our answer is 10 since we are dividing 10 by 1.
I would be happy to help you again in the future and hope that this provided you with some clarification. Have a nice day! :D
