Intercept Form of a Straight Line

Q. Question 2
Give the geometric representation of 2x + 9 = 0 as an equation:
(i) in one variable
(ii) in two variables

Q. Equation of the line passing through (4, -5) cutting of equal intercepts, but of the opposite sign, from the axes.

1. $x-y=9$
2. $x+y=9$
3. $x-y=-9$
4. $x+y=-9$

Q.

Match the equations A, B, C and D with the lines $L_1,L_2,L_{3}and{L}_4$, whose graphs are roughly drawn in the given diagram.

A $\equiv$ y = 2x; B $\equiv$ y - 2x + 2 = 0;

C $\equiv$ 3x + 2y = 6; D $\equiv$ y = 2

Q. By translation of axes the equation xy - x + 2y - 6 = 0 changed as XY =c then c =

1. 4
2. 6
3. 5
4. 7

Q.

The equation of a line whose x intercept is 3 and y intercept is -2 is

1. 
2. 
3. 
4. 

Q.

Which of the following statement is/are correct for equation 2x - 3y + 5 = 0:

1. Slope of the straight line is $\frac{2}{3}$

2. x-intercept of the straight line is $\frac{-5}{2}$

3. y-intercept of the straight line is $\frac{5}{3}$

1. only 2&3

2. only 1 & 2

3. only 3&1

4. All 1, 2 & 3

Q.

A line passes through the point (2, 2) and is perpendicular to the line 3x + y = 3. Its y-intercept is

1. 

2. 

3. 

4. 

Q. Find the x-intercept and y-intercept of the line $2x+4y=10$.

1. 5 and $\frac{5}{2}$
2. $\frac{1}{5}$ and $\frac{2}{5}$
3. 5 and $\frac{2}{5}$
4. $\frac{1}{5}$ and $\frac{5}{2}$

Q.

Solve the equation x² -5x -12 = 0 graphically.

Q.
The given fig represents which of the given Equations?

1. $y=|x+2|+|x+3|$
2. $y=|x+2|+|x-3|$
3. $y=|x-2|+|x-3|$
4. $y=|x-2|+|x+3|$

Q.

The equation of the line whose x intercept is 3 and y intercept is -2 is

1. 
2. 
3. 
4. 

Q.

y-intercept of the line y = 3x - 2 is ___

1. -2

2. 2

3. 3

4. -3

Q.

The equation of a line whose x intercept is 3 and y intercept is -2 is

1. 
2. 
3. 
4. 

Q.

The equation of the straight line which passes through the point (3, 4) and whose intercept on y-axis is twice that on x-axis, is

1. 2x – y = 10

2. x + 2y = 10

3. 2x + y = 10

4. None of these