Question

Find the equation of the line.

Use exact numbers.

Answer 1

Explanation:

(-6,0) ; (0,4)

`Slope=(y_(2)-y_(1))/(x_(2)-x_(1))\\\\=(4-0)/(0-(-6))\\\\=(4)/(6)\\\\=(2)/(3)`

y - y1 = m(x -x1)

y - 0 = (2/3)(x- [-6] )

y = (2/3)(x + 6 )

`y=(2)/(3)x + (2)/(3)*6\\\\y=(2)/(3)x+2*2\\\\y=(2)/(3)x + 4\\`