Answer in Brief

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

Advertisement Remove all ads

#### 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

Concept: General Equation of a Line

Is there an error in this question or solution?

Advertisement Remove all ads

#### APPEARS IN

Advertisement Remove all ads

Advertisement Remove all ads