Question

Easy question but need answer quick!!

Answer 1

Explanation:

Step 1: Find slope of Linear function A

`slope = (y_2 - y_1)/(x_2-x_1) = (-5--1)/(-4--2) = (-5 +1)/(-4+2) = (-4)/(-2) = 2`

Step 2 : Find slope of B

Since they are perpendicular to each other, product of their slope = -1

That is,

`m_A * m_B = - 1\\2 * m_B = -1\\\\slope, m_B = (-1)/(2)`

Given the function passes through (4, -6)

Equation of the linear function :

`x_3 = 4 \ , \ y_3 = -6\\\\(y - y_3) = m_B (x - x_3)\\\\(y - -6) = -(1)/(2) (x - 4)\\\\y + 6 = -(1)/(2)x + 2\\\\y = -(1)/(2)x + 2 - 6 \\\\y = -(1)/(2)x -4`

Part B

Linear Function is parallel to B

Therefore the slope of B and slope of C are the same. And the equation will be of the form :

`y = -(1)/(2) x + C`