Graphing Linear Equations in Slope-Intercept Form (Fall 24)

Front

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

Back

The slope-intercept form of a linear equation is given by 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 is the coefficient of x in the equation, represented by m.

Front

What does the y-intercept represent in a linear equation?

Back

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

Front

How can you find 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 definition of x-intercept?

Back

The x-intercept is the point where the graph of the line crosses the x-axis.

Front

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

Back

'Rise' refers to the change in the y-coordinate (vertical change) between two points on a line.

Front

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

Back

'Run' refers to the change in the x-coordinate (horizontal change) between two points on a line.

Front

How do you graph a linear equation in slope-intercept form?

Back

To graph a linear equation in slope-intercept form, start at the y-intercept (0, b) on the y-axis, then use the slope (rise/run) to find another point.

Front

What is the significance of the inequality symbol in graphing linear inequalities?

Back

The inequality symbol indicates whether the line is included in the solution (solid line) or not (dashed line) and defines the region of solutions.

Front

How do you determine if a point is a solution to a linear equation?

Back

A point (x, y) is a solution to a linear equation if substituting x into the equation yields the corresponding y value.