Graphing 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

How do you identify the y-intercept from the slope-intercept form?

Back

The y-intercept is the value of b in the equation y = mx + b, which is the point where the line crosses the y-axis.

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that as the x-value increases, the y-value also increases, resulting in an upward slant of the line.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as the x-value increases, the y-value decreases, resulting in a downward slant of the line.

Front

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

Back

The first step is to plot the y-intercept (b) on the y-axis.

Front

After plotting the y-intercept, what is the next step in graphing?

Back

The next step is to use the slope (m) to determine the rise over run from the y-intercept.

Front

What does 'rise' refer to in the context of slope?

Back

'Rise' refers to the vertical change in y-values when moving from one point to another on the line.

Front

What does 'run' refer to in the context of slope?

Back

'Run' refers to the horizontal change in x-values when moving from one point to another on the line.

Front

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

Back

The slope (m) can be calculated 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 significance of the y-intercept in graphing?

Back

The y-intercept is significant because it provides a starting point for graphing the line on the coordinate plane.