Advertisement Remove all ads

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

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  

  Is there an error in this question or solution?
Advertisement Remove all ads

APPEARS IN

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

Video TutorialsVIEW ALL [1]

Advertisement Remove all ads
Share
Notifications

View all notifications


      Forgot password?
View in app×