X & Y Intercepts and Standard Form

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 y-coordinate is zero.

Front

How do you find the x-intercept from an ordered pair?

Back

The x-intercept can be identified from an ordered pair (x, y) where y = 0.

Front

What is the standard form of a linear equation?

Back

The standard form of a linear equation is Ax + By = C, where A, B, and C are integers.

Front

How do you convert an equation to standard form?

Back

To convert to standard form, rearrange the equation to isolate the constant on one side and the variables on the other.

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 x-coordinate is zero.

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 does the equation y = mx + b represent?

Back

This is the slope-intercept form of a linear equation, where m is the slope and b is the y-intercept.

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the rise over run (change in y over change in x).

Front

How do you identify the slope from two points?

Back

The slope (m) can be calculated using the formula m = (y2 - y1) / (x2 - x1) from two points (x1, y1) and (x2, y2).

Front

What is the significance of the point (0, b) in a linear equation?

Back

The point (0, b) represents the y-intercept of the line, where the line crosses the y-axis.