slope intercept form

Front

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

Back

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

Front

What does 'b' represent in the equation y = mx + b?

Back

The 'b' represents the y-intercept, which is the point where the line crosses the y-axis.

Front

How do you identify the slope from the equation y = 3x + 2?

Back

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

Front

If a line has a slope of -2, what does this indicate about its direction?

Back

A slope of -2 indicates that the line falls as it moves from left to right.

Front

What is the y-intercept of the equation y = -5x + 4?

Back

The y-intercept is 4, meaning the line crosses the y-axis at the point (0, 4).

Front

How can you convert the equation y = 2x - 1 into slope-intercept form?

Back

The equation is already in slope-intercept form: y = mx + b, where m = 2 and b = -1.

Front

What is the slope of the line represented by the equation y = -1/2x + 6?

Back

The slope is -1/2.

Front

If the slope of a line is 0, what does this tell you about the line?

Back

A slope of 0 indicates a horizontal line.

Front

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

Back

The slope is 0, indicating a horizontal line.

Front

How do you find the slope between two points (2, 3) and (4, 7)?

Back

Use the formula: slope (m) = (y2 - y1) / (x2 - x1) = (7 - 3) / (4 - 2) = 2.