Question

Find the slope of the line through the points (1,4) and (2,3) and then graph the line. Slope=

Answer 1

Explanation

First, we are asked to find the slope given that the line passes through the points (1,4) and (2,3)

We will make use of the formula

`\begin{gathered} slope=(y_2-y_1)/(x_2-x_1) \\ \\ where \\ x_1=1,y_1=4 \\ x_2=2,y_2=3 \end{gathered}`

Thus

`\begin{gathered} slope=(3-4)/(2-1)=-(1)/(1)=-1 \\ \\ slope=-1 \end{gathered}`

Thus, the slope = -1

Next, we are told to graph the line

We will have the graph below

To graph the points on your graph, we have to be aware that

for (1,4), x =1 and y=4

We can make (1,4) point A on the graph

Also for (2,3)

x=2, y =3

Let us make points (2,3) B

So we have the points below

So points A and B are joined by the yellow line