Graphing Linear Equations Flashcard

Front

What is the x-intercept of a line?

Back

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

Front

What is the y-intercept of a line?

Back

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

Front

How do you graph a line using x and y intercepts?

Back

Plot the x-intercept and y-intercept on the graph, then draw a straight line through these two points.

Front

What is the slope of a line?

Back

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

Front

If a line has an x-intercept of -5 and a y-intercept of 1, what are the coordinates of these intercepts?

Back

The x-intercept is (-5, 0) and the y-intercept is (0, 1).

Front

What does it mean if a line has a negative slope?

Back

A negative slope indicates that as x increases, y decreases, resulting in a downward slant from left to right.

Front

What does it mean if a line has a positive slope?

Back

A positive slope indicates that as x increases, y also increases, resulting in an upward slant from left to right.

Front

How can you determine the slope from two points on a line?

Back

Use the formula: slope (m) = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are the coordinates of the two points.

Front

What is the equation of a line in slope-intercept form?

Back

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

Front

If a line passes through the points (1, 3) and (4, 6), what is the slope?

Back

The slope is (6 - 3) / (4 - 1) = 3 / 3 = 1.