Advertisements
Advertisements
Question
Find the equation of a line whose slope and y-intercept are m = `2/3`, c = -2
Solution
m = `2/3`, c = -2
y = mx + c
y = `2/3`x -2
⇒ -2x + 3y + 6 = 0
2x - 3y - 6 = 0
⇒ 2x - 3y = 6
APPEARS IN
RELATED QUESTIONS
In the figure given below, the line segment AB meets X-axis at A and Y-axis at B. The point P(-3, 4) on AB divides it in the ratio 2:3. Find the coordinates of A and B.
The point P divides the join of (2, 1) and (−3, 6) in the ratio 2 : 3. Does P lies on the line x − 5y + 15 = 0?
Find the point of intersection of the lines 4x + 3y = 1 and 3x − y + 9 = 0. If this point lies on the line (2k – 1) x – 2y = 4; find the value of k.
The co-ordinates of two points P and Q are (2, 6) and (−3, 5) respectively Find the equation of PQ;
In triangle ABC, the co-ordinates of vertices A, B and C are (4, 7), (–2, 3) and (0, 1) respectively. Find the equation of median through vertex A. Also, find the equation of the line through vertex B and parallel to AC.
Determine whether the line through points (–2, 3) and (4, 1) is perpendicular to the line 3x = y + 1.
Does line 3x = y + 1 bisect the line segment joining the two given points?
Find the inclination of a line whose gradient is 0.4663
Find the equation of a line whose slope and y-intercept are m = `(-1)/2`, c = 5
Find the equation of a line passing through (8,3) and making an angle of 45° with the positive direction of the y-axis.
Given equation of line L1 is y = 4.
(i) Write the slope of line, if L2 is the bisector of angle O.
(ii) Write the coordinates of point P.
(iii) Find the equation of L2