Question

If (5a, 2a) and (-a, 3a) are two points on the graph of a line and a does not equal 0, what is the slope of the line

Answer 1

\(\bf \begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
% (a,b)
&({\color{red}{ 5a}}\quad ,&{\color{blue}{ 2a}})\quad
% (c,d)
&({\color{red}{ -a}}\quad ,&{\color{blue}{ 3a}})
\end{array}
\\\quad \\
% slope = m
slope = {\color{green}{ m}}= \cfrac{rise}{run} \implies
\cfrac{{\color{blue}{ y_2}}-{\color{blue}{ y_1}}}{{\color{red}{ x_2}}-{\color{red}{ x_1}}}\implies .
\cfrac{{\color{blue}{ 3a}}-{\color{blue}{ 2a}}}{{\color{red}{ -a}}-{\color{red}{ -5a}}}\implies \cfrac{\square ?}{\square ?}\)

Answer 2

can you find change in y
divided by change in x
?

Answer 3

hint: the "a"'s cancel out

Answer 4

if you don't like using letters, you can replace a with 1 (for example)

Answer 5

Please help!!

Answer 6

where are you stuck ?

Answer 7

I get stuck when I don't know how to do it!