1st Semester Final Exam Review

Front

Back

The y-intercept is the value of y when x = 0. In this case, it is 5.

Front

If the graph of a system of equations overlaps perfectly, what does that indicate?

Back

It indicates that there are infinitely many solutions.

Front

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

Back

The slope (m) is calculated using the formula: m = (y2 - y1) / (x2 - x1). For points (1, 2) and (4, 8), m = (8 - 2) / (4 - 1) = 2.

Front

Solve for 'x' in the equation: 3x - 4 = 2x + 5.

Back

x = 9.

Front

Back

Front

Define slope in the context of a linear equation.

Back

Slope is a measure of the steepness of a line, calculated as the ratio of the vertical change to the horizontal change between two points on the line.

Front

What does it mean if a system of equations has no solutions?

Back

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

Front

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

Back

The slope-intercept form is given by: y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you determine if two lines are perpendicular?

Back

Two lines are perpendicular if the product of their slopes is -1.

Front

What is the significance of the x-intercept in a graph?

Back

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