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Online Quiz (Worksheet A B C D)

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Middle/High School Algebra, Geometry, and Statistics (AGS)
1.5 Y - Intercept (Using graph)

Linear Function:
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
x-3-2-10123
y = x + 3012345 6
Ordered pairs(-3,0)(-2,1)(-1,2)(0,3)(1,4)(2,5)(3,6)

Ordered pairs for the graph y = x - 2
x-3-2-10123 4
y = x - 2-5-4-3-2-10 12
Ordered pairs(-3,-5)(-2,-4)(-1,-3)(0,-2)(1,-1)(2,0)(3,1) (4,2)

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

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