Find the slope and y-intercept of the line: y = 4
Question types
Equation of a Line question types
173 questions across 6 question groups — pick any mix to generate a Mathematics paper with step-by-step answer keys.
173
Questions
6
Question groups
5
Question types
01
[1 Mark Question Answer]
14 Q→02[2 Mark Question Answer]
53 Q→03[3 marks sum]
65 Q→04[5 marks sum]
3 Q→05[4 marks sum]
33 Q→06TRUE / FALSE
5 Q→Sample Questions
Equation of a Line questions
One sample from each question group in this chapter. Select any group above to see the full set with answer keys.
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Find the slope of the line parallel to AB if: A = (0, −3) and B = (−2, 5)
Find the slope of the line parallel to AB if: A = (−2, 4) and B = (0, 6)
Find the slope of the line passing through the $(a, −b)$ and $(b, −a)$
View full solution →Find the slope of the line passing through the $(−4, 0)$ and origin
View full solution →$O (0, 0), A (3, 5)$ and $B (−5, −3)$ are the vertices of triangle $OAB$. Find the equation of median of triangle $OAB$ through vertex $O$
View full solution →The equation of a line AB is 2x – 2y + 3 = 0
(i) Find the slope of line AB.
(ii) Calculate the angle that the line AB makes with the positive direction of the x-axis.
(i) Find the slope of line AB.
(ii) Calculate the angle that the line AB makes with the positive direction of the x-axis.
Find the slope of the line which is perpendicular to:
$\frac{x}{3}-2 y=4$
View full solution →$\frac{x}{3}-2 y=4$
Find the slope of the line which is perpendicular to:
$x-\frac{y}{2}+3=0$
View full solution →$x-\frac{y}{2}+3=0$
Find the slope of the line which is parallel to:
$\frac{x}{2}-\frac{y}{3}-1=0$
View full solution →$\frac{x}{2}-\frac{y}{3}-1=0$
A straight line passes through the points $P (-1, 4)$ and $Q (5, -2)$. It intersects the co-ordinate axes at points A and B. M is the mid-point of the segment AB . Find:
(i) The equation of the line
(ii) The co-ordinates of A and B.
(iii) The co-ordinates of M.
View full solution →(i) The equation of the line
(ii) The co-ordinates of A and B.
(iii) The co-ordinates of M.
Find the value of K for which the lines $kx – 5y + 4 = 0$ and $5x – 2y + 5 = 0$ are perpendicular to
each other.
View full solution →each other.
The slope of aline joining $P(6,k)$ and $Q(1 - 3k, 3)$ is $\frac{1}{2}$ Find
(i) k.
(ii) mid-point of PQ, using the value of 'k' found in (i).
View full solution →(i) k.
(ii) mid-point of PQ, using the value of 'k' found in (i).
A line $5x + 3y + 15 = 0$ meets y – axis at point P. Find the co-ordinates of points P. Find the equation of a line through P and perpendicular to $x – 3y + 4 = 0$.
View full solution →Find the equation of the line through the points A(-1,3) and B(0,2). Hence, show that the pointA,B and C (1,1) are collinear.
Show that $A(3, 2), B (6, −2)$ and $C (2, −5)$ can be the vertices of a square.
(i) Find the co-ordinates of its fourth vertex $D,$ if $ABCD$ is a square
(ii) Without using the co-ordinates of vertex $D,$ find the equation of side $AD$ of the square and
also the equation of diagonal $BD.$
View full solution →(i) Find the co-ordinates of its fourth vertex $D,$ if $ABCD$ is a square
(ii) Without using the co-ordinates of vertex $D,$ find the equation of side $AD$ of the square and
also the equation of diagonal $BD.$
Given equation of line $L_1$ is $y = 4.$
(i) Write the slope of line $L_2$ if $L_2$ is the bisector of angle $O.$
(ii) write the co-ordinates of point $P.$
(iii) Find the equation of $L_2$
View full solution →(i) Write the slope of line $L_2$ if $L_2$ is the bisector of angle $O.$
(ii) write the co-ordinates of point $P.$
(iii) Find the equation of $L_2$
$ABCD$ is a parallelogram where $A(x, y), B (5, 8), C (4, 7)$ and $D (2, -4).$ Find :
(i) co-ordinates of $A.$
(ii) equation of diagonal $BD$
View full solution →(i) co-ordinates of $A.$
(ii) equation of diagonal $BD$
A straight line passes through the point $(3, 2)$ and the portion of this line, intercepted between the positive axes, is bisected at this point. Find the equation of the line.
View full solution →A line through origin meets the line $x = 3y + 2$ at right angles at point $X$. Find the co-ordinates of $X$.
View full solution →$(1, 5)$ and $(-3, -1)$ are the co-ordinates of vertices $A$ and $C$ respectively of rhombus $ABCD.$ Find
the equations of the diagonals $AC$ and $BD.$
View full solution →the equations of the diagonals $AC$ and $BD.$
$A$ line $AB$ meets $X-$ axis at $A$ and $Y-$ axis at $B. P(4, -1)$ divides AB in the ration $1 : 2.$
1. Find the co-ordinates of $A$ and $B$.
2. Find the equation of the line through $P$ and perpendicular to $A B$.
View full solution →1. Find the co-ordinates of $A$ and $B$.
2. Find the equation of the line through $P$ and perpendicular to $A B$.
In the figure, ABC is a triangle and BC is parallel to the y-axis. AB and AC intersect the y-axis at P and Q respectively.
(1) Write the co-ordinates of A.
(2) Find the length of Ab and AC.
(3) Find the radio in which Q divides Ac.
(4)find the equation of the line AC.
(1) Write the co-ordinates of A.
(2) Find the length of Ab and AC.
(3) Find the radio in which Q divides Ac.
(4)find the equation of the line AC.
if the point (2, a) lies on the line 2x – y = 3, then a = 5.
the point (-3, 0) lies on the line x + 3 = 0
State, true or false:the point (8, 7) lies on the line y – 7 = 0
the line $\frac{x}{2}+\frac{y}{3}=0$ passes through the point $(4,-6)$
View full solution → the line $\frac{x}{2}+\frac{y}{3}=0$ passes through the point $(2,3)$
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