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Anna35 [415]
2 years ago
6

Question Number 4 on Straight Lines

Mathematics
1 answer:
Ivanshal [37]2 years ago
8 0

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

       

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