Finding X-intercept and y-intercept from a linear function

Front

What is the definition of the y-intercept in a linear function?

Back

The y-intercept is the point where the graph of a linear function crosses the y-axis, represented as (0, b) where b is the value of y when x = 0.

Front

How do you find the y-intercept from a linear equation in the form y = mx + b?

Back

The y-intercept can be found directly from the equation as the value of b.

Front

What is the definition of the x-intercept in a linear function?

Back

The x-intercept is the point where the graph of a linear function crosses the x-axis, represented as (a, 0) where a is the value of x when y = 0.

Front

How do you find the x-intercept from a linear equation?

Back

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

Front

What is the significance of the point (0, 0) in relation to intercepts?

Back

The point (0, 0) is the origin and can be an intercept if the function crosses both axes at this point.

Front

True or False: The x-intercept of a function ALWAYS occurs where y is equal to zero.

Back

True.

Front

True or False: The y-intercept of a function ALWAYS occurs where y is equal to zero.

Back

False.

Front

Given the equation 3x - 3y = 21, how do you find the y-intercept?

Back

Rearrange the equation to the form y = mx + b and solve for y when x = 0.

Front

What is the y-intercept of the equation 3x - 3y = 21?

Back

The y-intercept is (0, -7).

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.