English

Answer the following question: Reduce the equation 6x + 3y + 8 = 0 into slope-intercept form. Hence find its slope - Mathematics and Statistics

Advertisements
Advertisements

Question

Answer the following question:

Reduce the equation 6x + 3y + 8 = 0 into slope-intercept form. Hence find its slope

Sum
Advertisements

Solution

Given equation is 6x + 3y + 8 = 0, which can be written as

3y = – 6x – 8

∴  y = `(-6x)/3 - 8/3`

∴ y = `-2x - 8/3`

This is of the form y = mx + c with m = – 2

∴ y = `-2x - 8/3` is in slope-intercept form with slope = – 2

shaalaa.com
Equations of Line in Different Forms
  Is there an error in this question or solution?
Chapter 5: Straight Line - Miscellaneous Exercise 5 [Page 124]

APPEARS IN

Balbharati Mathematics and Statistics 1 (Arts and Science) [English] Standard 11 Maharashtra State Board
Chapter 5 Straight Line
Miscellaneous Exercise 5 | Q II. (2) | Page 124

RELATED QUESTIONS

Write the equation of the line :

parallel to the X−axis and at a distance of 5 unit form it and above it


Write the equation of the line :

parallel to the Y−axis and at a distance of 5 unit form it and to the left of it


Find the equation of the line passing through the points A(2, 0), and B(3, 4)


Find the equation of the line having slope `1/2` and containing the point (3, −2).


Line y = mx + c passes through points A(2, 1) and B(3, 2). Determine m and c.


The vertices of a triangle are A(3, 4), B(2, 0), and C(−1, 6). Find the equation of the line containing the midpoints of sides AB and BC


Find the x and y intercept of the following line:

`x/3 + y/2` = 1


Find the x and y intercept of the following line:

2x − 3y + 12 = 0


Find equations of lines containing the point A(3, 4) and making equal intercepts on the co-ordinates axes.


Find the equations of perpendicular bisectors of sides of the triangle whose vertices are P(−1, 8), Q(4, −2), and R(−5, −3)


Select the correct option from the given alternatives:

If the point (1, 1) lies on the line passing through the points (a, 0) and (0, b), then `1/"a" + 1/"b"` =


Answer the following question:

Does point A(2, 3) lie on the line 3x + 2y – 6 = 0? Give reason.


Answer the following question:

Obtain the equation of the line containing the point (2, 3) and parallel to the X-axis.


Answer the following question:

Find the equation of the line having slope 5 and containing point A(–1, 2).


Answer the following question:

Find the equation of the line which contains the point A(3, 5) and makes equal intercepts on the co-ordinates axes.


Answer the following question:

The vertices of a triangle are A(1, 4), B(2, 3) and C(1, 6). Find equations of the sides.


Answer the following question:

The vertices of a triangle are A(1, 4), B(2, 3) and C(1, 6). Find equations of the medians.


Answer the following question:

The vertices of a triangle are A(1, 4), B(2, 3) and C(1, 6) Find equations of Perpendicular bisectors of sides


Answer the following question:

Two lines passing through M(2, 3) intersect each other at an angle of 45°. If slope of one line is 2, find the equation of the other line.


Answer the following question:

Find the Y-intercept of the line whose slope is 4 and which has X intercept 5


Answer the following question:

Find the equations of the diagonals of the rectangle whose sides are contained in the lines x = 8, x = 10, y = 11 and y = 12


Answer the following question:

A(1, 4), B(2, 3) and C(1, 6) are vertices of ∆ABC. Find the equation of the altitude through B and hence find the co-ordinates of the point where this altitude cuts the side AC of ∆ABC.


Answer the following question:

P(a, b) is the mid point of a line segment between axes. Show that the equation of the line is `x/"a" + y/"b"` = 2


Answer the following question:

Show that there are two lines which pass through A(3, 4) and the sum of whose intercepts is zero.


Answer the following question:

Show that there is only one line which passes through B(5, 5) and the sum of whose intercept is zero.


If the equation kxy + 5x + 3y + 2 = 0 represents a pair of lines, then k = ____________.


The lines `(x + 1)/(-10) = (y + 3)/-1 = (z - 4)/1` and `(x + 10)/(-1) = (y + 1)/-3 = (z - 1)/4` intersect at the point ______ 


The point A(b, a) lies on the straight line 2x + 3y = 13 and the point B(a, b) lies on the straight line -x + 4y = 5, then the equation of line AB is ______


The intercept of a line between the coordinate axes is divided by the point (1, 3) in the ratio 3 : 1. The equation of the line will be ______


The line L given by `x/5+y/b=1` passes through the point (13, 32). The line K is parallel to L and its equation is `x/c+y/3=1`. Then, the distance between L and K is ______.


The angle between the lines x sin 60° + y cos 60° = 5 and x sin 30° + y cos 30° = 7 is ______ 


Let the perpendiculars from any point on the line 7x + 56y = 0 upon 3x + 4y = 0 and 5x – 12y = 0 be p and p', then ______.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×