Math 8 Check in A Review

Front

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

Back

The slope-intercept form of a linear equation is given by the formula y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you determine the number of solutions in a system of equations?

Back

The number of solutions in a system of equations can be determined by analyzing the slopes and y-intercepts of the lines. If the lines are parallel, there is no solution. If they are the same line, there are infinite solutions. If they intersect at one point, there is one solution.

Front

What happens to the x-coordinate of a point when it is reflected over the y-axis?

Back

When a point is reflected over the y-axis, its x-coordinate changes sign, while the y-coordinate remains the same.

Front

Define the term 'pre-image' in the context of transformations.

Back

The pre-image is the original figure or shape before any transformation, such as translation, rotation, or reflection, is applied.

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, and it represents the value of y when x is zero.

Front

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

Back

To convert from standard form (Ax + By = C) to slope-intercept form (y = mx + b), solve for y by isolating it on one side of the equation.

Front

What does it mean for two lines to be parallel in terms of their slopes?

Back

Two lines are parallel if they have the same slope but different y-intercepts, meaning they will never intersect.

Front

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

Back

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

Front

What is a transformation in geometry?

Back

A transformation in geometry is an operation that moves or changes a shape in some way, including translations, rotations, reflections, and dilations.

Front

What is the relationship between the slopes of two lines that are perpendicular?

Back

The slopes of two perpendicular lines are negative reciprocals of each other, meaning if one line has a slope of m, the other will have a slope of -1/m.