Question

Question Number 4 on Straight Lines

Answer 1

Answer:

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

b) x intercept = 4

Step-by-step explanation:

Given equation of line 1

                              $y - 4 = \frac{3}{2} (x-1)\\\\y = \frac{3}{2}x -\frac{3}{2} + 4\\\\y = \frac{3}{2} x + \frac{5}{4}$

The two lines are parallel to each other, therefore they have same slope.

Given

     $Slope \ of \ line, \ m_1 = \frac{3}{2}$

Therefore

     $slope \ of \ line, m_2 = \frac{3}{2}$

a)

Equation of line 2:

           $(y-3) =\frac{3}{2}(x -6)\\\\y = \frac{3}{2}x -9 + 3\\\\y = \frac{3}{2} x- 6$

b)

x - intercept of line 2: Value of x at y = 0

$0 = \frac{3}{2}x - 6\\\\\frac{3}{2}x = 6\\\\3x = 12\\\\x = 4$