Question

10 One of the legs of a right triangle has vertices with coordinates (-2,4) and (10,0).

Answer 1

The equation of the line of the other leg of the right triangle if it shares the vertice of (10,0) is y = -1/3x + 10/3

How to find the equation of a line?

The equation of a line in slope-intercept form is expressed as y = mx + b

where

m is the slope

b is the y-intercept

Given the coordinate points (-2, 4) and (10, 0)

Find the slope

Slope = -4/12
Slope = -1/3

Determine the y-intecept

0 = -1/3(10) + b

b = 10/3

Determine the equation

y = -1/3x + 10/3

Hence the equation of the line of the other leg of the right triangle if it shares the vertice of (10,0) is y = -1/3x + 10/3

Learn more on equation of a line here: brainly.com/question/13763238