8th Grade Semester 1 Review

Front

What is the formula to calculate the slope of a line given two points (x1, y1) and (x2, y2)?

Back

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

Front

What does it mean for a relationship to be proportional?

Back

A relationship is proportional if it can be represented by a straight line that passes through the origin (0,0).

Front

What is a non-proportional relationship?

Back

A non-proportional relationship does not pass through the origin and can be represented by a line with a y-intercept that is not zero.

Front

How do you identify the slope of a line from a graph?

Back

The slope is the rise over run, calculated as the change in y divided by the change in x between two points on the line.

Front

What is the slope of the line that passes through the points (3, 7) and (6, 13)?

Back

The slope is 2.

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, indicating the value of y when x = 0.

Front

What is the equation of a line in slope-intercept form?

Back

The equation is written as y = mx + b, where m is the slope and b is the y-intercept.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as x increases, y decreases, showing an inverse relationship.

Front

What is the effect of dilating a shape by a scale factor less than 1?

Back

Dilating a shape by a scale factor less than 1 reduces the size of the shape.

Front

If a square has a side length of 5 cm and is dilated by a scale factor of 0.5, what is the new side length?

Back

The new side length is 2.5 cm.