ALG1B 5.2 Using Intercepts

Front

What is the y-intercept of a graph?

Back

The y-intercept is the point where the graph intersects the y-axis, represented as an ordered pair (0, y).

Front

How do you find the y-intercept from an equation?

Back

To find the y-intercept, set x = 0 in the equation and solve for y.

Front

What is the x-intercept of a graph?

Back

The x-intercept is the point where the graph intersects the x-axis, represented as an ordered pair (x, 0).

Front

How do you find the x-intercept from an equation?

Back

To find the x-intercept, set y = 0 in the equation and solve for x.

Front

Back

(2, 0) - Set y = 0 and solve for x.

Front

Back

(0, 4) - Set x = 0 and solve for y.

Front

Back

(0, -3) - Set x = 0 and solve for y.

Front

What does it mean if a graph has no x-intercept?

Back

It means the graph does not cross the x-axis, indicating that the equation has no real solutions for x.

Front

What does it mean if a graph has no y-intercept?

Back

It means the graph does not cross the y-axis, which can occur in vertical lines (undefined slope).

Front

How can you verify the intercepts on a graph?

Back

You can plot the points found as intercepts and check if they lie on the graph.