Question #3dac0

2 Answers
Jan 16, 2018

8

Explanation:

"calculate the distance using the "color(blue)"distance formula"

color(red)(bar(ul(|color(white)(2/2)color(black)(d=sqrt((x_2-x_1)^2+(y_2-y_1)^2))color(white)(2/2)|)))

"let "(x_1,y_1)=(4,5)" and "(x_2,y_2)=(4,-3)

d=sqrt((4-4)^2+(-3-5)^2)

color(white)(d)=sqrt(0^2+8^2)=sqrt64=8

"note that the x-coordinates of the 2 points are 4"

"thus this is a vertical line and the distance between the"

"2 points is the difference of the y-coordinates"

rArrd=5-(-3)=5+3=8

Jan 17, 2018

Lets just visualise this on a graph.

Desmos. I plotted the equation myself (i'm proud of me)Desmos. I plotted the equation myself (i'm proud of me)

Since our x value is the same all the way through, the distance is the difference in the y-values.

:. "Distance"=5-(-3)
=8