Algebra 1 Mid-Year Review

Front

What is the definition of slope in a linear equation?

Back

The slope is a measure of the steepness of a line, calculated as the change in the y-coordinate divided by the change in the x-coordinate (rise over run).

Front

How do you find 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 if the slope of a line is negative?

Back

A negative slope indicates that as the x-value increases, the y-value decreases, meaning the line falls from left to right.

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

How do you graph a linear equation in slope-intercept form?

Back

To graph, start at the y-intercept (b) on the y-axis, then use the slope (m) to determine the rise over run to find another point.

Front

What is the difference between a solid line and a dashed line in graphing inequalities?

Back

A solid line indicates that the points on the line are included in the solution (≥ or ≤), while a dashed line indicates they are not included (> or <).

Front

How do you solve a linear inequality?

Back

To solve a linear inequality, isolate the variable on one side of the inequality sign, similar to solving an equation, and then graph the solution.

Front

What does the y-intercept represent 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

What is the meaning of the term 'rise' in the context of slope?

Back

'Rise' refers to the vertical change between two points on a line, calculated as the difference in the y-coordinates.

Front

What is the meaning of the term 'run' in the context of slope?

Back

'Run' refers to the horizontal change between two points on a line, calculated as the difference in the x-coordinates.