2. WHAT IS A LINEAR EQUATION?
A linear equation is an
equation whose graph
forms a straight line.
Linear equations are
usually shown on a
coordinate plane
Real life situations of
linear equations
include the stock
market as well as the
payments of a car.
3. PARTS OF A COORDINATE
PLANE
Origin
Y-Axis
X-Axis
QUADRANT II
(-x, y)
QUADRANT I
(x, y)
QUADRANT III
(-x, -y)
QUADRANT IV
(x, -y)
4. METHODS IN GRAPHING A LINEAR EQUATION
Using two points
Using x- and –y intercepts
Using the slope and –y intercepts
Using the slope and a point
8. USING X-INTERCEPT AND Y-
INTERCEPT
A linear equation
can be graphed by
using x-intercept a
and y-intercept b.
(a,0) and (0,b) are
enough to graph
linear equation.
X-intercept- the
abscissa
Y-intercept- the
ordinate
b
a
9. EXAMPLE:
y = 3x+2
X 0 -2/3
Y 2 0
Tip: Using this method,
you need to solve for x-
intercept by letting y=0
and y-intercept by letting
x=0 1 2 3
-
1
-
2
-
3
1
2
3
3
2
1
10. USING SLOPE AND Y-INTERCEPT
In using this method, you need to
identify the slope and the y-
intercept of the linear equation.
In equation y = 6x+2
m= 6
rise= 6 run= 1
y= 2
11. TRY THIS:
m= 2/4 and b= 2
m= 1 and b= 3
y= ¾ x +3
y= ½x + 1
12. USING SLOPE AND ONE POINT
To find a point from any equation,
assign any value for x in the given
equation.
Example: In equation y= 2x+1
slope: 2 ordered pair:
(-1,-1)
Let x= -1
y = -1
13. TRY THIS
m=3 and (0,-5)
m = -3 and (2,4)
m= 2/3 and (-2,5)