y=mx+b

Front

What does the equation of a line in slope-intercept form look like?

Back

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

Front

What is the slope in the equation y = (2/3)x - 1?

Back

The slope (m) in the equation y = (2/3)x - 1 is 2/3.

Front

What is the y-intercept in the equation y = -3x + 5?

Back

The y-intercept (b) in the equation y = -3x + 5 is 5.

Front

How do you determine if a slope is positive or negative?

Back

A slope is positive if it rises from left to right and negative if it falls from left to right.

Front

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

Back

The slope of the line represented by the equation y = -3x - 3 is -3.

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that as x increases, y also increases.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as x increases, y decreases.

Front

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

Back

The slope (m) can be found using the formula 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 with a slope of -2 and a y-intercept of 1?

Back

The equation of the line is y = -2x + 1.

Front

What is the significance of the y-intercept in a linear equation?

Back

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