Types of planes -
number line
n elementary mathematics, a number line is a picture of a graduated straight line that serves as abstraction for real numbers, denoted by ℝ. Every point of a number line is assumed to correspond to a real number, and every real number to a point.
Cartessian plane
The Cartesian Plane is sometimes referred to as the x-y plane or the coordinate plane and is used to plot data pairs on a two-line graph. The Cartesian plane is named after the mathematician Rene Descartes who originally came up with the concept. Cartesian planes are formed by two perpendicularnumber lines intersect.
question- draw the graph for equation 4x+3y=24
Step-1 take out the value of x and y like when x=0 so y=8 and when y=0 then x=6 so your coordinate will become (0,8) , (6,0)
Step-2 plot the points
step -3 join the points with a line
Linear Equation in Two Variables
What is a linear equation?
Any equation with the degree of 1 is considered a 'linear equation'
For example:
2x - 5 is a linear equation as the highest degree is 1 (2x - 5 = 2x^1 - 5^1)
2x^2 - 5 is not a linear equation as the highest degree is 2
Linear Equations with 2 variables
some question related to topic
Let's say, A boy and a girl scored 75 points in a game overall, now, let's make an equation out of it. So, 75 = x + y. Here, the boy's score is 'x' and the girl's score is 'y'.
Here are some other examples:
3x + 2s = 14, 7a + 6c = 50
Note in these equations, they can be written as 3x + 2s - 14 = 0, 7a + 6c - 50 = 0
so, any equation which can be formed as ax + by + c = 0, where a and b are both not 0 and a,b and c are real numbers, is a linear equation with two variables
Now that we know how to write equations, let's do some very short questions.
Write any 3 equations in the form of "ax + by + c = 0"
