Q. 24.5( 72 Votes )

In Exercises, find the equation of the line which satisfy the given conditions:

Passing through the point (– 4, 3) with slope 1/2

Answer :

Given point = (-4, 3) and slope, m = 1/2


We know that the point (x, y) lies on the line with slope m through the fixed point (x0, y0), if and only if, its coordinates satisfy the equation y – y0 = m (x – x0)


y – 3 = 1/2 (x – (-4))


y – 3 = 1/2 (x + 4)


2(y – 3) = x + 4


2y – 6 = x + 4


x + 4 – (2y – 6) = 0


x + 4 – 2y + 6 = 0


x – 2y + 10 = 0


Ans. The equation of the line is x – 2y + 10 = 0.


Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Various Forms of Equations of lineFREE Class
Parametric Equations of Straight line48 mins
Straight line | Analyse your learning through quiz56 mins
General Equation of a lineFREE Class
Slope, inclination and angle between two lines48 mins
Interactive Quiz on Equations of lineFREE Class
Motion in a Straight Line - 0556 mins
Motion in a Straight Line - 0665 mins
Motion in a Straight Line - 0372 mins
Motion in a Straight Line - 1063 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
view all courses