Find the equation of the line that has x-intercept = -3 and is perpendicular to 3x + 5y = 1.

Let point where line touches x-axis be A. So, A = (-3, 0) Given equation of line, ⇒ 3x + 5y = 1 ⇒ 5y = -3x + 1 ⇒ y = Comparing above equation with y = mx + c we get, Slope (m 1 ) = Let slope of line perpendicular to 3x + 5y = 1 be m 2 . ⇒ m 1 × m 2 = -1 ⇒ ⇒ . By point-slope form, Equation of line with slope = and passing through (-3, 0) is : ⇒ y - y 1 = m(x - x 1 ) ⇒ y - 0 = [x - (-3)] ⇒ 3y = 5[x + 3] ⇒ 3y = 5x + 15 ⇒ 5x - 3y + 15 = 0. Hence, equation of required line is 5x - 3y + 15 = 0.

ABCD is a parallelogram where A(x, y), B(5, 8), C(4, 7) and D(2, -4). Find
(i) the coordinates of A.
(ii) the equation of the diagonal BD.

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Given equation of line L₁ is y = 4.
(i) Write the slope of line L₂ if L₂ is the bisector of angle O.
(ii) Write the co-ordinates of point P.
(iii) Find the equation of L₂.

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A straight line passes through the points P(-1, 4) and Q(5, -2). It intersects x-axis at point A and y-axis at point B. M is the mid-point of the line segment AB. Find :
(i) the equation of the line.
(ii) the co-ordinates of points A and B.
(iii) the co-ordinates of point M.

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In the given figure, line AB meets y-axis at point A. Line through C(2, 10) and D intersects line AB at right angle at point P. Find :
(i) equation of line AB.
(ii) equation of line CD.
(iii) co-ordinates of point E and D.

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Mathematics

Find the equation of the line that has x-intercept = -3 and is perpendicular to 3x + 5y = 1.

Straight Line Eq

Related Questions

ABCD is a parallelogram where A(x, y), B(5, 8), C(4, 7) and D(2, -4). Find
(i) the coordinates of A.
(ii) the equation of the diagonal BD.

Given equation of line L₁ is y = 4.
(i) Write the slope of line L₂ if L₂ is the bisector of angle O.
(ii) Write the co-ordinates of point P.
(iii) Find the equation of L₂.

A straight line passes through the points P(-1, 4) and Q(5, -2). It intersects x-axis at point A and y-axis at point B. M is the mid-point of the line segment AB. Find :
(i) the equation of the line.
(ii) the co-ordinates of points A and B.
(iii) the co-ordinates of point M.

In the given figure, line AB meets y-axis at point A. Line through C(2, 10) and D intersects line AB at right angle at point P. Find :
(i) equation of line AB.
(ii) equation of line CD.
(iii) co-ordinates of point E and D.

Mathematics

Find the equation of the line that has x-intercept = -3 and is perpendicular to 3x + 5y = 1.

Straight Line Eq

Related Questions

ABCD is a parallelogram where A(x, y), B(5, 8), C(4, 7) and D(2, -4). Find(i) the coordinates of A.(ii) the equation of the diagonal BD.

Given equation of line L1 is y = 4.(i) Write the slope of line L2 if L2 is the bisector of angle O.(ii) Write the co-ordinates of point P.(iii) Find the equation of L2.

A straight line passes through the points P(-1, 4) and Q(5, -2). It intersects x-axis at point A and y-axis at point B. M is the mid-point of the line segment AB. Find :(i) the equation of the line.(ii) the co-ordinates of points A and B.(iii) the co-ordinates of point M.

In the given figure, line AB meets y-axis at point A. Line through C(2, 10) and D intersects line AB at right angle at point P. Find :(i) equation of line AB.(ii) equation of line CD.(iii) co-ordinates of point E and D.

ABCD is a parallelogram where A(x, y), B(5, 8), C(4, 7) and D(2, -4). Find
(i) the coordinates of A.
(ii) the equation of the diagonal BD.

Given equation of line L₁ is y = 4.
(i) Write the slope of line L₂ if L₂ is the bisector of angle O.
(ii) Write the co-ordinates of point P.
(iii) Find the equation of L₂.

A straight line passes through the points P(-1, 4) and Q(5, -2). It intersects x-axis at point A and y-axis at point B. M is the mid-point of the line segment AB. Find :
(i) the equation of the line.
(ii) the co-ordinates of points A and B.
(iii) the co-ordinates of point M.

In the given figure, line AB meets y-axis at point A. Line through C(2, 10) and D intersects line AB at right angle at point P. Find :
(i) equation of line AB.
(ii) equation of line CD.
(iii) co-ordinates of point E and D.