Question

What is the slope of a line with the points forty-one comma thirty-three and sixty-two comma twenty-seven?
a.zero
b.positive
c.undefined
d.negative

Answer 1

There are couple ways to do this. I get negative either way.

You have points \[A(41,33)\phantom{space} B(62,27)\]

You can notice that the point B has a lower y value than A but a higher x value This means that further on the graph, the point is lower meaning a negative slope. You could always calculate the slope by using the slope formula
\[m=\frac{y_2-y_1}{x_2-x_1}\]
In which case you get
\[m=\frac{27-33}{62-41}=\frac{-5}{21}=-\frac{5}{21}\]
This is a negative slope.

Answer 2

Thank you :)

Answer 3

Anytime :)