Plotting the Point of Intersection of Two Lines in the Cartesian Plane

Q.

Any point on the line y = x is of the form

1. $(a,a)$

2. $(0,a)$

3. $(a,0)$

4. $(a,-a)$

Q.

A line is drawn on the coordinate plane that passes through the point $\left(10,1\right)$ and has a slope of $-0.5$. what is the $y-$intercept?

Q. What is the intersection point of the following lines drawn on the coordinate plane?

1. $(10,-3)$
2. $(10,-3)$
3. $(-3,10)$
4. $(10,-3)$

Q. What are the coordinates of the point where the lines $x=-3$ and $y=4$ intersect?

1. $(3,-4)$
2. $(-3,4)$
3. $(-3,4)$
4. $(-3,4)$

Q. The Point of Intersection of two lines is given by $(a,b)$, then which of the following is/are true?

1. $x=a$
2. $y=a$
3. $x=b$
4. $y=b$

Q. What are the coordinates of the point where the lines $y=6$ and $x=-6$ intersect?

1. $(6,6)$
2. $(-6,-6)$
3. $(6,-6)$
4. $(-6,6)$

Q. Graphs of $y=x$, $y=2x+1$, $x+y=0$ have one thing in common; all of them represent a straight line.

1. True
2. False

Q. A friend of Steve who is a gardener is dealing with some issues about planting seeds. It turns out that she has a square garden and decided to plant seeds of beautiful flowering plants at these following particular locations. Now, she decided to plant a seed at a location E which is given by $(0,5)$. Will E lie on the same line segment joing AB?

1. Yes
2. No
3. Data Insufficient

Q. Which one of the following represents the intersection of lines at $(-5,-6)?$

1. 
2. 
3. 
4. 

Q. What are the coordinates of the point where the lines $x=0$ and $y=0$ intersect?

1. $(0,0)$
2. $(1,2)$
3. $(2,4)$
4. $(1,5)$