Slope Intercept Form

Front

What is the Slope-Intercept Form of a linear equation?

Back

The Slope-Intercept Form is given by the equation y = mx + b, where m is the slope and b is the y-intercept.

Front

What does the slope (m) represent in the equation y = mx + b?

Back

The slope (m) represents the rate of change of y with respect to x, indicating how steep the line is.

Front

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

Back

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

Front

How do you find the y-intercept from the equation y = 1/3x - 2?

Back

The y-intercept is -2, which means the line crosses the y-axis at the point (0, -2).

Front

How do you graph a line using the slope-intercept form?

Back

1. Start at the y-intercept (0, b). 2. Use the slope (rise/run) to find another point. 3. Draw the line through the points.

Front

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

Back

The slope is -2, indicating that for every 1 unit increase in x, y decreases by 2 units.

Front

If the slope is positive, what does that indicate about the line?

Back

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

Front

If the slope is negative, what does that indicate about the line?

Back

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

Front

What is the first step in graphing a line in slope-intercept form?

Back

The first step is to plot the y-intercept (0, b) on the graph.

Front

What does the term 'rise' refer to in slope?

Back

'Rise' refers to the vertical change in y as you move along the line.