Question

Calculate the slope of the line between each pair of coordinates.

a. A: (3, 6) and B: (4, -3)
b. C: (-5, -3) and D: (-3, -7)

Answer 1

SOLVING

`\Large\maltese\underline{\textsf{A. What is Asked}}`

Calculate the slope of the line between each pair of co-ordinates

`\Large\maltese\underline{\textsf{B. This problem has been solved!}}`

`\LARGE\textsf{Question 1}}`

The points given are,

`\begin{cases} \bf{(3,6)} \\ \bf{(4,-3) \end{cases}`

To find the slope
`\textbf{M}` of this line,

we will utilise the
`\textbf{Slope Formula}`.

The first thing to do is

to put in the co-ordinates

of the two points given.

`\bf{(-3-6)/(4-3)}` | subtract on top and bottom

`\bf{(-9)/(1)}` | divide on top and bottom

`\bf{-9}`

`\LARGE\textsf{Question 2}`

The points given this time are,

`\begin{cases} \bf{(-5,-3)} \\ \bf{(-3,-7)} \end{cases}}`

Last time we needed to

put in the co-ordinates.

Similarly, we ought to

put in the co-ordinates

in this problem.

`\bf{(-7-(-3))/(-3-(-5))}` | simplify

`\bf{(-7+3)/(-3+5)}` | add on top and bottom

`\bf{(-4)/(2)}` | divide on top and bottom

`\bf{-2}`

`\cline{1-2}`

`\bf{Result:}`

`\bf{\begin{cases}\bf{Slope=-9} \\ \bf{Slope=-2} \end{cases}`

`\LARGE\boxed{\bf{aesthetic \\ot1 \theta l}}`

Answer 2

Answer
a. -9
b. -2
Slope is found by subtracting
(Y2 - Y1 ) over (X2 - X1)
So for a.
(-3-6) over (4-3) = -9/1 or -9
So for b.
(-7-(-3)) over (-3-(-5)) = -4/2 or -2
**Remember when you minus a minus it becomes a plus