Advertisements
Advertisements
Question
Find the slope, X-intercept, Y-intercept of the following line:
2x + 3y – 6 = 0
Solution
The equation 2x + 3y – 6 = 0 is of the form
ax + by + c = 0, where a = 2, b = 3, c = – 6
∴ slope of the line = `-"a"/"b" = -2/3`
x-intercept = `-"c"/"a" = -((-6))/2` = 3
y-intercept = `-"c"/"b" = -((-6))/3` = 2
APPEARS IN
RELATED QUESTIONS
Write the following equation in ax + by + c = 0 form.
y = 2x – 4
Write the following equation in ax + by + c = 0 form.
`x/2 + y/4` = 1
Write the following equation in ax + by + c = 0 form.
`x/3 - y/2` = 0
Show that lines x − 2y − 7 = 0 and 2x + y + 1 = 0 are perpendicular to each other. Find their point of intersection
Find the equation of the line whose X-intercept is 3 and which is perpendicular to the line 3x − y + 23 = 0.
Find the distance between parallel lines 4x − 3y + 5 = 0 and 4x − 3y + 7 = 0
Find points on the line x + y − 4 = 0 which are at one unit distance from the line 4x + 3y – 10 = 0.
Find the equation of the line parallel to the X-axis and passing through the point of intersection of lines x + y − 2 = 0 and 4x + 3y = 10
Find the equation of the line passing through the point of intersection of lines x + y − 2 = 0 and 2x − 3y + 4 = 0 and making intercept 3 on the X-axis
If A(4, 3), B(0, 0), and C(2, 3) are the vertices of ∆ABC then find the equation of bisector of angle BAC.
D(−1, 8), E(4, −2), F(−5, −3) are midpoints of sides BC, CA and AB of ∆ABC Find co-ordinates of the circumcenter of ΔABC
O(0, 0), A(6, 0) and B(0, 8) are vertices of a triangle. Find the co-ordinates of the incenter of ∆OAB
Select the correct option from the given alternatives:
The equation of a line, having inclination 120° with positive direction of X−axis, which is at a distance of 3 units from the origin is
Answer the following question:
Which of the following lines passes through the origin?
Answer the following question:
Find the distance of the origin from the line 12x + 5y + 78 = 0
Answer the following question:
Find the distance between the parallel lines 3x + 4y + 3 = 0 and 3x + 4y + 15 = 0
Answer the following question:
Find the equation of the line which passes through the point of intersection of lines x + y − 3 = 0, 2x − y + 1 = 0 and which is parallel X-axis
Answer the following question:
Find the distance of P(−1, 1) from the line 12(x + 6) = 5(y − 2)
Answer the following question:
Find points on the X-axis whose distance from the line `x/3 + y/4` = 1 is 4 unit
Answer the following question:
Find the distance of the line 4x − y = 0 from the point P(4, 1) measured along the line making an angle of 135° with the positive X-axis
The y-intercept of the line passing through A( 6, 1) and perpendicular to the line x - 2y = 4 is ______.
Let the straight line x = b divide the area enclosed by y = (1 - x)2, y = 0 and x = 0 into two parts R1(0 ≤ x ≤ b) and R2 (b ≤ x ≤ 1) such that `R_1 - R_2 = 1/4`. Then b equals ______
The equation 12x2 + 7xy + ay2 + 13x - y + 3 = 0 represents a pair of perpendicular lines. Then the value of 'a' is ______
If a plane has x-intercept l, y-intercept m and z-intercept n, and perpendicular distance of plane from the origin is k, then _______.
If the distance of the point (1, 1, 1) from the origin is half its distance from the plane x + y + z + k = 0, then k = ______.
Find the distance of the origin from the line 7x + 24y – 50 = 0 is:
