Graphing 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 = mx + b?

Back

The slope (m) is the coefficient of x in the equation.

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 positive, what does that indicate about the line's direction?

Back

A positive slope indicates that the line rises from left to right.

Front

If the slope of a line is negative, what does that indicate about the line's direction?

Back

A negative slope indicates that the line falls from left to right.

Front

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

Back

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

Front

What is the slope of the line represented by the equation y = -3x + 4?

Back

The slope of the line is -3.

Front

What is the y-intercept of the equation y = 5x - 2?

Back

The y-intercept is -2.

Front

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

Back

Start at the y-intercept (0, 1) and use the slope (2) to find another point by going up 2 units and right 1 unit.

Front

What is the significance of the slope in real-world applications?

Back

The slope represents the rate of change between two variables in real-world contexts.