Question

The line y = 2x + 6 cuts the x-axis at A and the y-axis at B. Find

Answer 1

Answer:

(a)

$3 \sqrt{5}$

(b)

$\frac{6}{ \sqrt{5} }$

Step-by-step explanation:

A(-3,0)

B(0,6)

$d = \sqrt{{( - 3 - 0)}^{2} + {(0 - 6)}^{2} } = \sqrt{9 + 36} = 3 \sqrt{5}$

$d = \frac{ax0 + by0 + c}{ \sqrt{ {a}^{2} + {b}^{2} } }$

2x-y+6=0

a=2, b=-1, c=6

x0=0, y0=0

$d = \frac{6}{ \sqrt{4 + 1} } = \frac{6}{ \sqrt{5} }$