Find the equation of the line, whose :
(i) x-intercept = 5 and y-intercept = 3
(ii) x-intercept = -4 and y-intercept = 6

Question

Find the equation of the line, whose : (i) x-intercept = 5 and y-intercept = 3 (ii) x-intercept = -4 and y-intercept = 6

KnowledgeBoat · Accepted Answer

(i) x-intercept = 5 and y-intercept = 3 When x-intercept = 5; corresponding point on the x-axis = (5, 0) When y-intercept = 3; corresponding point on the y-axis = (0, 3). By point-slope form, ⇒ y - y1 = m(x - x1) ⇒ y - 0 = (x - 5) ⇒ 5y = -3(x - 5) ⇒ 5y = -3x + 15 ⇒ 3x + 5y = 15. Hence, equation of line is 3x + 5y = 15. (ii) x-intercept = -4 and y-intercept = 6 When x-intercept = -4; corresponding point on the x-axis = (-4, 0) When y-intercept = 6; corresponding point on the y-axis = (0, 6). By point-slope form, ⇒ y - y1 = m(x - x1) ⇒ y - 0 = [x - (-4)] ⇒ y = (x + 4) ⇒ 2y = 3x + 12 ⇒ 2y - 3x = 12 ⇒ 2y = 3x + 12 Hence, equation of line is 2y = 3x + 12.

Mathematics

Find the equation of the line, whose :
(i) x-intercept = 5 and y-intercept = 3
(ii) x-intercept = -4 and y-intercept = 6

Straight Line Eq

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Mathematics

Find the equation of the line, whose :(i) x-intercept = 5 and y-intercept = 3(ii) x-intercept = -4 and y-intercept = 6

Straight Line Eq

Related Questions

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.

Find the equation of the perpendicular dropped from the point (-1, 2) onto the line joining the points (1, 4) and (2, 3).

Find the equation of the line with x-intercept 5 and a point on it (-3, 2).

Find the equation of the line, whose :
(i) x-intercept = 5 and y-intercept = 3
(ii) x-intercept = -4 and y-intercept = 6

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.