Question

Alice started walking from a point where the $x$-intercept is -4 and reached to another point where the $y$-intercept is -3. Find the distance between the starting and the ending point.

• A. 25
• B. 5
• C. 10
• D. 20

Answer 1

The correct option is B 5

Step 1: Alice started from a point where $x$-intercept is -4.
If $x$-intercept is -4, then $y=0$ at that point.
Hence, the point (-4, 0) can be represented as:

Step 2: Alice reached to another point where $y$-intercept is -3.
If $y$-intercept is -3, then $x=0$ at that point.
Hence, the point (0, -3) can be represented as:

Step 3: find the distance between the points $(-4,0)\text{and}(0,-3)$

We know that, distance between the points $(x_1,y_1)$ and $(x_2,y_2)$
$=\sqrt{(x_2-x_1{)}^2+(y_2-y_1{)}^2}$

$\therefore$ Distance between the points $(-4,0)$ and $(0,-3)$
$=\sqrt{(0-(-4){)}^2+(-3-0{)}^2}$
$=\sqrt{4^2+(-3{)}^2}$
$=\sqrt{4^2+(-1{)}^2\times 3^2}$
$=\sqrt{4^2+1\times 3^2}$
$=\sqrt{16+9}$
$=\sqrt{25}$
$=5$
The distance between the starting and end point is 5.
Hence, option(b.) is the correct choice.