Question

Mark the two points on the graph:A(-2,5) B(3,-7)Draw a line between them, what is that distance?ML231451678maMark points on the graph A(-2,5) B(3,-7)

Answer 1

Answer:

The graph is plotted in the explanation section below

The distance = 13 units

Explanations:

The given points are A(-2, 5) and B(3, -7)

The graph showing the line joining the two points is shown below:

The distance between two points is given as:

`D\text{ = }\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2}`

For the points A(-2,5) B(3,-7)

`\begin{gathered} D\text{ = }\sqrt[]{(3-(-2))^2+(-7-5)^2} \\ D\text{ = }\sqrt[]{5^2+(-12)^2} \\ D\text{ = }\sqrt[]{25+144} \\ D\text{ = }\sqrt[]{169} \\ D\text{ = 13} \end{gathered}`

The distance between the points A(-2,5) B(3,-7) = 13