English

Answer the following question: Find the equation of the line having slope 5 and containing point A(–1, 2). - Mathematics and Statistics

Advertisements
Advertisements

Question

Answer the following question:

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

Sum

Solution

Given, slope(m) = 5 and the line passes through A(–1, 2).

Equation of the line in slope point form is y – y1 = m(x – x1)

∴ The equation of the required line is

y – 2 = 5(x + 1)

∴ y – 2 = 5x + 5

∴ 5x – y + 7 = 0

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 125]

APPEARS IN

Balbharati Mathematics and Statistics 1 (Arts and Science) [English] 11 Standard Maharashtra State Board
Chapter 5 Straight Line
Miscellaneous Exercise 5 | Q II. (8) (a) | Page 125

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


Write the equation of the line :

parallel to the X-axis and at a distance of 4 unit form the point (−2, 3)


Find the equation of the line passing through the points P(2, 1) and Q(2, –1)


Find the equation of the line containing point A(3, 5) and having slope `2/3`.


Find the equation of the line passing through the origin and which bisects the portion of the line 3x + y = 6 intercepted between the co-ordinate axes.


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:

2x − 3y + 12 = 0


Find equations of lines which contains the point A(1, 3) and the sum of whose intercepts on the coordinate axes is zero.


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"` =


Select the correct option from the given alternatives:

If the line kx + 4y = 6 passes through the point of intersection of the two lines 2x + 3y = 4 and 3x + 4y = 5, then k =


Answer the following question:

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


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 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 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:

The vertices of a triangle are A(1, 4), B(2, 3) and C(1, 6) Find equations of altitudes of ∆ABC


Answer the following question:

Find the X−intercept of the line whose slope is 3 and which makes intercept 4 on the Y−axis


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:

The vertices of ∆PQR are P(2, 1), Q(−2, 3) and R(4, 5). Find the equation of the median through R.


Answer the following question:

A line perpendicular to segment joining A(1, 0) and B(2, 3) divides it internally in the ratio 1 : 2. Find the equation of the line.


Answer the following question:

Find the co-ordinates of the foot of the perpendicular drawn from the point P(−1, 3) the line 3x − 4y − 16 = 0


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 = ____________.


If for a plane, the intercepts on the co-ordinate axes are 8, 4, 4, then the length of the perpendicular from the origin to the plane 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 ______


A Plane cuts the coordinate axes X, Y, Z at A, B, C respectively such that the centroid of the Δ ABC is (6, 6, 3). Then the equation of that plane is ______.


Suppose the line `(x - 2)/α = ("y" - 2)/(-5) = ("z" + 2)/2` lies on the plane x + 3y – 2z + β = 0. Then (α + β) is equal to ______.


Area of the parallelogram formed by the lines y = mx, y = mx + 1, y = nx and y = nx + 1 is equal to ______.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×