Question

Two lines passing through m(2,3) intersect each other at an angle of 45 degree. If slope of one line is 2, find the equation of the equation of the other line.

Answer 1

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Answer 2

Answer:

The equation of the other line is y - 2x + 1 = 0

Step-by-step explanation:

Given,

• point m(2,3)
• $\theta$ = 45°
• slope = 2

Let the point (2,3) as

$x_o$ = 2

$y_o$ = 3

So,

The equation of the line is -

(y-$y_o$) = slope(x-$x_o$)

put the values,

(y-3) = 2(x-2)

(y-3) = 2x - 4

y - 3 = 2x - 4

y - 2x + 1 = 0