Slope intercept form

Front

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

Back

The slope-intercept form of a linear equation is given by the formula 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 = -3x + 4?

Back

The slope (m) is -3.

Front

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

Back

The y-intercept (b) represents the point where the line crosses the y-axis.

Front

If the slope of a line is -4/5, what does this indicate about the direction of the line?

Back

A slope of -4/5 indicates that the line falls as it moves from left to right, going down 4 units for every 5 units it moves to the right.

Front

How can you convert the equation y = 1/3x - 2 into slope-intercept form?

Back

The equation is already in slope-intercept form, where the slope is 1/3 and the y-intercept is -2.

Front

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

Back

The slope indicates the steepness and direction of the line; a positive slope means the line rises, while a negative slope means it falls.

Front

How do you graph the equation y = -2x + 1?

Back

To graph y = -2x + 1, start at the y-intercept (0, 1) and use the slope (-2) to find another point by going down 2 units and right 1 unit.

Front

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

Back

The slope of the line is -2.

Front

What does it mean if two lines are parallel in terms of their slopes?

Back

Two lines are parallel if they have the same slope.

Front

What does it mean if two lines are perpendicular in terms of their slopes?

Back

Two lines are perpendicular if the product of their slopes is -1.