Graphing Equations

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 'm' represent in the slope-intercept form?

Back

'm' represents the slope of the line, indicating the steepness and direction of the line.

Front

What does 'b' represent in the slope-intercept form?

Back

'b' represents the y-intercept, which is the point where the line crosses the y-axis.

Front

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

Back

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

Front

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

Back

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

Front

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

Back

The next step is to use the slope (m) to plot additional points on the graph.

Front

What is the final step in graphing a linear equation?

Back

The final step is to connect the plotted points with a straight line.

Front

What is the solution to the system of equations represented by the intersection of two lines?

Back

The solution is the point (x, y) where the two lines intersect.

Front

How do you write the equation of a line given the slope and y-intercept?

Back

Use the slope-intercept form: y = mx + b, substituting m for the slope and b for the y-intercept.

Front

What is the y-intercept of the equation y = 3x + 5?

Back

The y-intercept is 5.