Linear relationships

Front

What is the slope-intercept form of a linear equation?

Back

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

Front

How do you identify the slope from the equation y = -2x + 4?

Back

The slope (m) is -2.

Front

What does the y-intercept represent in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, represented by the value of b in the equation y = mx + b.

Front

If a line has a slope of 5, what does this indicate about the line's steepness?

Back

A slope of 5 indicates that for every 1 unit increase in x, y increases by 5 units, making the line steep.

Front

What is the equation of a line with a slope of 0?

Back

The equation of a line with a slope of 0 is y = b, where b is the y-value of the line, indicating a horizontal line.

Front

How do you find the slope from two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated using the formula m = (y2 - y1) / (x2 - x1).

Front

What is the significance of a negative slope in a linear equation?

Back

A negative slope indicates that as x increases, y decreases, resulting in a downward slant of the line.

Front

What is the slope of the line represented by the equation y = 5x - 3?

Back

The slope (m) of the line is 5.

Front

How can you determine if a slope is positive, negative, or zero?

Back

A positive slope rises from left to right, a negative slope falls from left to right, and a zero slope is horizontal.

Front

What is the mistake in setting up the slope formula?

Back

Common mistakes include incorrectly identifying the coordinates of the points or miscalculating the differences in y and x.