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

Front

What is the x-intercept of a linear equation?

Back

The x-intercept is the point where the graph of the equation crosses the x-axis, meaning the value of y is 0.

Front

How do you find the x-intercept of the equation 3x + 6y = 24?

Back

Set y = 0: 3x + 6(0) = 24, which simplifies to x = 8. So, the x-intercept is (8, 0).

Front

What is the y-intercept of a linear equation?

Back

The y-intercept is the point where the graph of the equation crosses the y-axis, meaning the value of x is 0.

Front

How do you find the y-intercept of the equation 3x - 3y = 21?

Back

Set x = 0: 3(0) - 3y = 21, which simplifies to y = -7. So, the y-intercept is (0, -7).

Front

What does it mean when a function crosses the x-axis?

Back

It means that the function has an x-intercept, which is also known as a zero or root of the function.

Front

What is the x-intercept of the equation y = 3x - 12?

Back

Set y = 0: 0 = 3x - 12, which simplifies to x = 4. So, the x-intercept is (4, 0).

Front

What is the relationship between x-intercepts and roots of a function?

Back

X-intercepts are the values of x for which the function equals zero, hence they are also called roots.

Front

How can you identify the graph with a specific x-intercept?

Back

Look for the point on the graph where it crosses the x-axis at the given x-value.

Front

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

Back

The y-intercept indicates the value of the function when x is zero, providing a starting point for graphing.

Front

How do you determine the x-intercept from a standard form equation?

Back

To find the x-intercept, set y to 0 and solve for x.