Question

show that the algebraic sum of intercepts made on the coordinates by the line x + y + 10 equal to zero is -20​

Answer 1

Answer:

$sum \: of \: intercepts = - 10 + ( - 10) \\ \\ = - 20.$

Step-by-step explanation:

$x + y + 10 = 0 \\ \\ for \: x \: intercept \: \: \: \: \: y = 0 \: \: \: \: x + 10 = 0 \\ \\ x = - 10 \\ \\ therefore \: x \: intercept \: is \: - 10. \\ \\ \\ for \: y \: intercept \: \: \: \: \: x= 0 \: \: \: \: y+ 10 = 0 \\ \\ y= - 10 \\ \\ therefore \: y \: intercept \: is \: - 10. \\ \\ \\ \\ therefore \: \: sum \: of \: intercepts = - 10 + ( - 10) \\ \\ = - 20.$