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41 votes
41 votes
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)

User Mihir Bhende
by
3.1k points

2 Answers

7 votes
7 votes

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}}

User Ryan Sam
by
3.0k points
20 votes
20 votes
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
User Ewbi
by
3.3k points