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High School
Geometry
High school geometry
Analytic geometry

floymdiT

Answered question

2021-10-10

Find the equation of the straight lines that pass throught the following sets of points:
a) (2;4);(4;7)
b) (3;-5);(-2;2)
c) (1;3);(-3;1)

Answer & Explanation

Sadie Eaton

Skilled2021-10-11Added 104 answers

Step 1
To find slope of the given line, we express it in a standard form, y = mx + c, we get:
$2 x + 3 y + 4 = 0$
$3 y \pm 2 x - 4$
$y = \frac{- 2}{3} x - \frac{4}{3}$ ...dividing throughout by 3
Step 2
Comparing the equation obtained above with the standard form, we get:
$m = \frac{- 2}{3}$
Step 3
If m1 and m2 are the slopes of two lines that are perpendicular to each other, then we have, m1* m2 = -1. Here, let m1 be the slope obtained above, then m1 = -2/3. Solving for m2,...
$\frac{- 2}{3} \times m_{2} = - 1$
$m_{2} = \frac{- 1}{- 2 / 3} = (- 1) \times (\frac{3}{- 2}) \Rightarrow m_{2} = \frac{3}{2}$

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