Question

If the line formed by equation 1 is parallel to the line formed by equation 2, fill in the missing value below.

Answer 1

Answer:

$y =-\frac{3}{2}x + 6$

Step-by-step explanation:

Given

$y = []x + 6$ --- equation 1

$y = \frac{2}{3}x + 10$ --- equation 2

Required

Fill in the blank

A linear equation is represented as:

$y = mx + b$

Where m represents the slope

If (1) and (2) are perpendicular, then:

$m_1 = -\frac{1}{m_2}$

In $y = \frac{2}{3}x + 10$ --- equation 2

$m_2 = \frac{2}{3}$

So, we have:

$m_1 = -\frac{1}{m_2}$

$m_1 = -\frac{1}{2/3}$

$m_1 = -\frac{3}{2}$

Hence, the complete equation is:

$y =-\frac{3}{2}x + 6$