Point Slope Form

Q.

The point of intersection of the lines represented by equation $2{\left(x+2\right)}^2+3\left(x+2\right)\left(y-2\right)-2{\left(y-2\right)}^2=0$ is

1. $\left(2,2\right)$

2. $\left(-2,-2\right)$

3. $\left(-2,2\right)$

4. $\left(2,-2\right)$

Q. Slope of the line joining the points (2, 1) and (6, 7) is _______.

1. $\frac{3}{2}$
2. 0
3. $\frac{2}{3}$
4. 1

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

1. $2x–y=10$
2. $x+2y=10$
3. $2x+y=10$
4. $3x-4y+7=0$

Q.

The equation of line A is y = 5x + 7. Line A is parallel to line B and crosses the y-axis at the coordinate (0, -2). Find the equation of line B.

1. y = 5(x - 2)

2. y = 5x - 2

3. y = - 2x + 7

4. y = - 0.5x - 2

Q. P(3, 4), Q(7, -2) and R(-2, -1) are the vertices of a triangle PQR. Find the equation of the median of the triangle through R.

1. 2x-7y-3=0

2. 7x-2y-3=0

3. 3x-8y-5=0

4. 2x-7y-5=0

Q.

P(3, 4), Q(7, -2) and R(-2, -1) are the vertices of triangle PQR. Write down the equation of the median of the triangle through R.

1. $x-7y-3=0$

2. $2x-7y+3=0$

3. $2x-7y-3=0$

4. $2x+7y-3=0$

Q. Slope of the line joining the points A(-3, 5) and B(4, -1) is _______.

1. $\frac{6}{7}$
2. $\frac{-6}{7}$
3. $\frac{3}{7}$
4. $\frac{-3}{7}$

Q.

Find the equation of a line whose $x$ intercept is 8 and passing through the point (4, -8).

1. $y=7x+35$

2. $y=2x-16$

3. $y=2x+16$

4. $y=7x+30$

Q. The equation of a line passing though origin and with slope equal to 1 is .

1. $5x+4y=0$
2. $3x+4y=2$
3. $x–y=0$
4. $x+y=0$

Q.

Find the equation of the line passing through the point (3, 2) and parallel to the line $4x+y=11$.

1. $4x+y=14$

2. $x+4y-10=0$

3. $3x+4y-14=0$

4. $3x+y-11=0$

Q.

The equation of a straight line passing through the origin and perpendicular to the straight line 2x + 3y - 7 = 0 is

1. 2y - 3x = 0

2. 3y + 2x = 0

3. 2y + 3x = 0

4. 3y - 2x = 0

Q. Slope of a line which makes an angle ${45}^{\circ }$ with the positive direction of the X-axis is _____.

1. 0
2. $\sqrt{3}$
3. 1
4. $\sqrt{2}$