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Y – Intercept of a Line The y – intercept of a line is the point where the line intersects or “cuts through” the y – axis.

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Presentation on theme: "Y – Intercept of a Line The y – intercept of a line is the point where the line intersects or “cuts through” the y – axis."— Presentation transcript:

1 Y – Intercept of a Line The y – intercept of a line is the point where the line intersects or “cuts through” the y – axis.

2 Y – Intercept of a Line The y – intercept of a line is the point where the line intersects or “cuts through” the y – axis. Y intercepts occur where x = 0, so the coordinate point for all y intercepts is ( 0 , y )

3 Y – Intercept of a Line The y – intercept of a line is the point where the line intersects or “cuts through” the y – axis. Y intercepts occur where x = 0, so the coordinate point for all y intercepts is ( 0 , y ) In our diagram, you can see the line intersects the y – axis at y = 3

4 Y – Intercept of a Line The y – intercept of a line is the point where the line intersects or “cuts through” the y – axis. Y intercepts occur where x = 0, so the coordinate point for all y intercepts is ( 0 , y ) In our diagram, you can see the line intersects the y – axis at y = 3 Y – intercept = ( 0 , 3 )

5 Y – Intercept of a Line To find the y – intercept of an equation and no graph is available to see where the line crosses the y – axis, substitute x = 0 into the given equation and solve for y . EXAMPLE : Find the y – intercept of

6 Y – Intercept of a Line To find the y – intercept of an equation and no graph is available to see where the line crosses the y – axis, substitute x = 0 into the given equation and solve for y . EXAMPLE : Find the y – intercept of Let x = 0

7 Y – Intercept of a Line To find the y – intercept of an equation and no graph is available to see where the line crosses the y – axis, substitute x = 0 into the given equation and solve for y . EXAMPLE : Find the y – intercept of

8 Y – Intercept of a Line To find the y – intercept of an equation and no graph is available to see where the line crosses the y – axis, substitute x = 0 into the given equation and solve for y . EXAMPLE : Find the y – intercept of So your y – intercept is ( 0 , 4 )

9 Y – Intercept of a Line To find the y – intercept of an equation and no graph is available to see where the line crosses the y – axis, substitute x = 0 into the given equation and solve for y . EXAMPLE #2 : Find the y – intercept of

10 Y – Intercept of a Line To find the y – intercept of an equation and no graph is available to see where the line crosses the y – axis, substitute x = 0 into the given equation and solve for y . EXAMPLE #2 : Find the y – intercept of Let x = 0

11 Y – Intercept of a Line To find the y – intercept of an equation and no graph is available to see where the line crosses the y – axis, substitute x = 0 into the given equation and solve for y . EXAMPLE #2 : Find the y – intercept of Solve for “y” So your y – intercept is ( 0 , - 2 )


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