Front

What is the x-intercept of a graph?

Back

The x-intercept is the point where the graph crosses the x-axis, meaning the value of y is zero at that point.

Front

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

Back

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

Front

What is the y-intercept of a graph?

Back

The y-intercept is the point where the graph crosses the y-axis, meaning the value of x is zero at that point.

Front

How do you find the y-intercept of a linear equation?

Back

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

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.

Front

What does the slope of a line represent?

Back

The slope represents the rate of change of y with respect to x; it indicates how steep the line is.

Front

What is the formula to calculate the slope between two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated as m = (y2 - y1) / (x2 - x1).

Front

What is the significance of the x-intercept in real-world applications?

Back

The x-intercept can represent a point where a quantity reaches zero, such as profit or population.

Front

How can you graph a linear equation using intercepts?

Back

To graph using intercepts, find the x-intercept and y-intercept, plot them on the graph, and draw a line through these points.

Front

What is the relationship between the x-intercept and the roots of a polynomial?

Back

The x-intercept of a graph corresponds to the roots (or solutions) of the polynomial equation.