ALG 2 - Use the TI-84 Plus to graph a system of equations/inequa

Front

What is a system of equations?

Back

A set of two or more equations with the same variables. The solution is the point(s) where the graphs of the equations intersect.

Front

How do you graph a linear equation?

Back

1. Rewrite the equation in slope-intercept form (y = mx + b). 2. Identify the y-intercept (b) and plot it on the graph. 3. Use the slope (m) to find another point. 4. Draw the line through the points.

Front

What does it mean for a solution to be a point of intersection?

Back

It is the point where two graphs meet, representing the values of the variables that satisfy both equations.

Front

What is the purpose of graphing inequalities?

Back

To visualize the set of solutions that satisfy the inequality, often represented by shading a region of the graph.

Front

How do you determine the solution set for a system of inequalities?

Back

By graphing each inequality and identifying the overlapping shaded region, which represents all the solutions that satisfy both inequalities.

Front

What is the significance of the y-intercept in a linear equation?

Back

It is the point where the line crosses the y-axis, indicating the value of y when x = 0.

Front

What does the slope of a line represent?

Back

The rate of change of y with respect to x, indicating how steep the line is and the direction it goes (positive or negative).

Front

How can you tell if a system of equations has no solution?

Back

If the graphs of the equations are parallel lines, they will never intersect, indicating no common solution.

Front

What is the difference between a linear equation and a quadratic equation?

Back

A linear equation has a degree of 1 and graphs as a straight line, while a quadratic equation has a degree of 2 and graphs as a parabola.

Front

What does it mean for a graph to be above or below a line in an inequality?

Back

'Above' means the y-values are greater than the line (y > mx + b), while 'below' means the y-values are less than the line (y < mx + b).