Q. 5
Find the equation of a line that has y – intercept – 4 and is parallel to the line joining (2, – 5) and (1, 2).
Answer :
Given, A line segment joining (2, – 5) and (1, 2) if it cuts off an intercept – 4 from y–axis.
To Find: The equation of that line.
Formula used: The equation of line is y = mx + C
Explanation: Here, The required equation of line is y = mx + c
Now, c = – 4 (Given)
Slope of line joining (x1 – x2) and (y1 – y2) , 
So, Slope of line joining (2, – 5) and (1, 2), 
Therefore, m = – 7
Now, The equation of line is y = mx + c
y = –7x – 4
y + 7x + 4 = 0
Hence, The equation of line is y + 7x + 4 = 0.
Rate this question :
Various Forms of Equations of line45 mins
Parametric Equations of Straight line48 mins
Slope, inclination and angle between two lines48 mins
Interactive Quiz on Equations of line23 mins
Straight line | Analyse your learning through quiz56 mins
General Equation of a line43 mins
Motion in a Straight Line - 0665 mins
Motion in a Straight Line - 0556 mins
Motion in a Straight Line - 0372 mins
Motion in a Straight Line - 1169 mins
Find the equation of the line whose y - intercept is - 3 and which is perpendicular to the line joining the points ( - 2, 3) and (4, - 5).
RS Aggarwal - MathematicsFind the equation of the line which is perpendicular to the line 3x + 2y = 8 and passes through the midpoint of the line joining the points (6, 4) and (4, - 2).
RS Aggarwal - MathematicsFind the equation of the line passing through the point (2, 3) and perpendicular to the line 4x + 3y = 10
RS Aggarwal - MathematicsFind the equation of the line that has x - intercept - 3 and which is perpendicular to the line 3x + 5y = 4
RS Aggarwal - MathematicsFind the equation of a line that has y – intercept – 4 and is parallel to the line joining (2, – 5) and (1, 2).
RD Sharma - MathematicsFind the equation of the perpendicular to the line segment joining (4, 3) and (– 1 1) if it cuts off an intercept – 3 from y – axis.
RD Sharma - MathematicsIf equation of the line passing through (1, 5) and perpendicular to the line 3x – 5y + 7 = 0 is
RD Sharma - MathematicsFind the equation of the perpendicular drawn from the point P(-2, 3) to the line x– 4y + 7 = 0. Also, find the coordinates of the foot of the perpendicular.
RS Aggarwal - MathematicsFind the image of the point P(1, 2) in the line x – 3y + 4 = 0.
RS Aggarwal - Mathematics