Question

Can someone please help

Answer 1

`√(160)`

Explanation:

Te equation of line is:

y = 3x + 12

Plug x = 0 in the above equation of line, we find:

y = 3*0 + 12

y = 0 + 12

y = 12

y-intercept = (0, 12)

Plug y = 0 in the equation y = 3x + 12

0 = 3x + 12

-3x = 12

x = 12/(-3)

x = - 4

x-intercept = (-4, 0)

Distance between x-intercept and y--intercept

`= \sqrt{ {( - 4 - 0)}^(2) + {(0 - 12)}^(2) } \\ \\ = \sqrt{ {( - 4 )}^(2) + {(- 12)}^(2) } \\ \\ = √(16 + 144) \\ \\ = √(160)`