algebra1 EOC#5

Front

What are the x and y intercepts of a graph?

Back

The x-intercept is the point where the graph crosses the x-axis (y=0), and the y-intercept is the point where the graph crosses the y-axis (x=0).

Front

How do you find the slope of a line given two points?

Back

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

Front

What does it mean for a system of equations to have no solution?

Back

It means that the lines represented by the equations are parallel and never intersect.

Front

What is the equation of a vertical line?

Back

The equation of a vertical line is of the form x = a, where 'a' is the x-coordinate of any point on the line.

Front

What is the equation of a horizontal line?

Back

The equation of a horizontal line is of the form y = b, where 'b' is the y-coordinate of any point on the line.

Front

How do you determine if a point is a solution to an inequality?

Back

Substitute the point into the inequality. If the inequality holds true, then the point is a solution.

Front

What is the graphical representation of a linear equation?

Back

A linear equation is represented by a straight line on a graph.

Front

What does the slope of a line indicate?

Back

The slope indicates the steepness of the line and the direction it goes (positive slope goes up, negative slope goes down).

Front

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

Back

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

Front

How can you identify a system of inequalities on a graph?

Back

The solution set is represented by the shaded region where the inequalities overlap.