### Home > CCA2 > Chapter 1 > Lesson 1.1.4 > Problem1-49

1-49.

Consider the points $(−5,0)$ and $(0,3)$. 1-49 HW eTool (Desmos). Homework Help ✎

1. Plot the points and find the distance between them. Give your answer both in simplest radical form and as a decimal approximation.

Use the Pythagorean Theorem to find the distance.
$a^2+b^2=c^2\\ (5)^2+(3)^2=c^2\\25+9=c^2$

$c=\sqrt{34}\approx5.83\text{ units}$

2. Find the slope of the line that passes through both points.

Look up slope in the glossary.
What is $Δy$? $Δx$?

$m = \frac{3}{5}$

Use the eTool below to solve the problem.
Click the link at right for the full version of the eTool: CCA2 1-49 HW eTool