# Find the Equation of a Line that Has Y-intercept −4 and is Parallel to the Line Joining (2, −5) and (1, 2). - Mathematics

Find the equation of a line that has y-intercept −4 and is parallel to the line joining (2, −5) and (1, 2).

#### Solution

Let m be the slope of the required line.
c = y-intercept = -4

It is given that the required line is parallel to the line joining the points (2, −5) and (1, 2).

$\therefore m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{2 + 5}{1 - 2} = - 7$

Substituting the values of m and c in y = mx + c, we get, y = $-$7x  $-$ 4

$\Rightarrow$ 7x + y + 4 = 0
Hence, the equation of the required line is 7x + y + 4 = 0

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#### APPEARS IN

RD Sharma Class 11 Mathematics Textbook
Chapter 23 The straight lines
Exercise 23.3 | Q 5 | Page 21