8th Math Semester 1 Final

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

Convert the equation y - 3 = 4(x + 2) to slope-intercept form.

Back

y = 4x + 11

Front

What does the slope of a line represent in a linear equation?

Back

The slope represents the rate of change of y with respect to x, indicating how steep the line is.

Front

How do you determine the number of solutions for a linear equation?

Back

The number of solutions can be determined by analyzing the coefficients and constants of the equation. If the lines are parallel, there is no solution; if they coincide, there are infinite solutions; otherwise, there is one solution.

Front

What is the slope of the line represented by the equation y + 1 = -3(x - 5)?

Back

The slope is -3.

Front

Convert the equation y + 9 = 3(x + 1) to slope-intercept form.

Back

y = 3x - 6

Front

What is a linear model?

Back

A linear model is a mathematical representation of a relationship between two variables that can be expressed as a straight line.

Front

If a linear equation has no solution, what does that imply about the lines represented by the equations?

Back

It implies that the lines are parallel and will never intersect.

Front

What is the y-intercept in the equation y = 4x + 11?

Back

The y-intercept is 11, 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).