8th Math Semester 1 Final

Front

What is the slope-intercept form of the equation 4x - 2y = 6?

Back

y = 2x - 3

Front

What does it mean if an equation has no solution?

Back

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

Front

What does the equation y = -25x + 120 represent in a real-world context?

Back

It describes a tank with 120 gallons of water releasing water at a rate of 25 gallons per minute.

Front

How can you determine if an equation has infinite solutions?

Back

If the two equations represent the same line, they have infinite solutions.

Front

What is the definition of slope in a linear equation?

Back

Slope is the ratio of the rise (change in y) to the run (change in x) between two points on a line.

Front

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

Back

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

Front

How do you convert an equation from standard form to slope-intercept form?

Back

Isolate y on one side of the equation to express it in the form y = mx + b.

Front

What is the formula for finding the slope between two points (x1, y1) and (x2, y2)?

Back

Slope (m) = (y2 - y1) / (x2 - x1).

Front

What does it mean if two lines are perpendicular?

Back

Their slopes are negative reciprocals of each other, meaning m1 * m2 = -1.

Front

What is the general form of a linear equation?

Back

The general form is Ax + By = C, where A, B, and C are constants.