Coordinate System in 2D

In gradient-intercept form of equation $\mathrm{y}=\mathrm{mx}+\mathrm{c}$, the $\text{'}\mathrm{m}\text{'}$ denotes:

A line segment $AB$ is denoted as:

In the gradient-intercept form of equation $y = mx + c$, the point where line cuts $y$-axis is:

The graph of $7x+3y=4$ and $5x-3y=2$, in the $y$-axis at two points having distance -

The equations are:
$$\begin{gathered} 3x+4y=10 \\ -x+2y=0 \end{gathered}$$
have the solution $(a, b)$. The value of $a+b$ is _____

Two lines meeting at a point are called ___________ .

Three or more points lying on the same line are known as ___________ points.

$A$ and $B$ are two fixed points $5 cm$ a part with each other and $C$ is a point on $A,B$ such that $AC$ is $3 cm$. If the length of $AC$ is increased by $6\raisebox{1ex}{$0$}\!\left/ \!\raisebox{-1ex}{$0$}\right.$, the length of CB is decreased by :

The distance between points $(2, 5)$and $(7, -3)$ is

The number of lines which can be drawn from one point:

According to Pythagoras theorem, the distance between points $\left(-3,8\right)$ and $\left(8,-5\right)$ is

The area of the triangle is formed by the straight line $3\mathrm{x}+2\mathrm{y}=6$ and the co-ordinate axes is  ______.

Simplify the following:

$60\%$ of $35$ is what percent of $400$?

The edge of a ruler draws _____________ .

Find the coordinates of the point which divides the line joining (5, – 2) and (9, 6) internally in the ratio 1:3.

If the graphs of the equations $3y – x = 6$ and $3x + 5y = 38$ intersect at a point, then find the coordinates of the point?

A line has ___________ length.

The lines which do not intersect and have equal distance between them are called:

If $(1, 2), (4, y), (x, 6)$ and $(3, 5)$ are the vertices of a parallelogram taken in order. Find $x$ and $y$.

A flat surface which extends indefinitely in all directions is called ___________ .