All the graphs are straight lines and these relations are called linear
functions. All these relations are generally written in the form of y = mx
or y = mx + c.
Slope-intercept form of a linear equation:
The straight lines in the form of y = mx + c are know as slope intercept form
where m is the slope and c is the y-intercept.
Draw the following graphs:
y = x + 3 and y = x - 2.
Ordered pairs for the graph y = x + 3
|y = x + 3||0||1||2||3||4||5||
Ordered pairs for the graph y = x - 2
|y = x - 2||-5||-4||-3||-2||-1||0||
Observing above graphs:
1. y = x + 3 and y = x - 2 are straight lines.
2. y = x + 3 intersect the Y - axis at (0,3), the distance between the origin and the point of intersecting of the straight line with Y - axis is known as y-intercept and it is equal to
the y-coordinate of the point. y-intercept for this straight line is 3.
3. y = x - 2 intersect the Y-axis at (0,-2). The distance between the origin and the point of intersection of the straight line with Y-axis is known as y-intercept and it is equal to the y-coordinate of that point. y-intercept for this
straight line is -2.
Directions: Draw the following graphs:
y = x+1
y = x+2
y = x+4
y = x+5
y = x-1
y = x-3
y = x-4
y = x-5
y = x-6