Point slope form of equation of a line

Q. A line is parallel to $2x+y=3$. It passes through the point (0, 1). What is its equation?

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

Q. Find the equation of a line which passes through the origin and it's slope is $-\frac{1}{Z}.$

1. $y=\frac{1}{Z}x$
2. $Zy=-x$
3. $y=Zx$
4. $x=Zy$

Q. Find the equation of line with the given slope and point and plot the line of this equation.

1. $y=\frac{x}{4}-7$
2. $y=4x+7$
3. $y=4x-7$
4. $x=4y-7$

Q. Point A is (2, -1) and point B is (4, 5). What is the equation of the line passing through these two points?

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

Q. The point slope form of a line is given by:

1. $y-y_1=m(x-x_1)$
2. $y-y_1=\frac{1}{m}(x-x_1)$
3. $y+y_1=\frac{1}{m}(x+x_1)$
4. $y=mx+b$

Q. What would be the equation of a line having slope $9$ and passing through the point $(4,5)?$

1. $y-5=9(x-4)$
2. $y-9=5(x-4)$
3. $y-4=9(x-5)$
4. $y-4=5(x-9)$

Q. The $x$-intercept of a line is $-2$. The line has a slope of $\frac{-3}{2}$. Find the equation of this line.

1. $y=\frac{-3}{2}x-3$
2. $y=\frac{3}{2}x-3$
3. $x=\frac{-3}{2}y-3$
4. $y=\frac{-3}{2}x+3$

Q. The slope of a line is 1. It passes through the point (2, 3). What is its equation?

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

Q. A straight line passing through point $\left(2,3\right)$ have a slope $\alpha$. What will be the value of $\alpha$ (slope) at point $\left(-2,2\right)$ ?

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

Q. Find the equation of a line which passes through the mid point of $(3,1)$ and $(1,5)$. The slope of this line is perpendicular to another line having a slope of $\frac{-1}{3}.$

1. $y-3=3(x-2)$
2. $y-2=3(x-3)$
3. $y-3=\frac{-1}{3}(x-2)$
4. $y-3=\frac{1}{3}(x-2)$