Finding x and y intercepts (and flashcard review)

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, typically represented as 'm' in the equation of a line (y = mx + b). It is calculated as the change in y divided by the change in x (rise/run).

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. The x-intercept is the point where the line crosses the x-axis.

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. The y-intercept is the point where the line crosses the y-axis.

Front

What is the x-intercept of the equation 4x - 10y = 20?

Back

The x-intercept is 5, found by setting y = 0 and solving for x.

Front

What is the y-intercept of the equation 4x - 10y = 20?

Back

The y-intercept is -2, found by setting x = 0 and solving for y.

Front

What does the point (0, 8) represent in the equation y = 3x + 8?

Back

The point (0, 8) represents the y-intercept of the line, where the line crosses the y-axis.

Front

How do you convert the equation y - 7 = 3(x + 9) to slope-intercept form?

Back

Distributing gives y = 3x + 27 + 7, which simplifies to y = 3x + 34.

Front

What is the slope of the line represented by the equation y = 3x + 8?

Back

The slope is 3, which indicates the line rises 3 units for every 1 unit it moves to the right.

Front

What is the x-intercept of the equation 3x + 8y = 24?

Back

The x-intercept is 8, found by setting y = 0 and solving for x.

Front

What is the y-intercept of the equation 3x + 8y = 24?

Back

The y-intercept is 3, found by setting x = 0 and solving for y.