Unit 1 Test Review

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, typically represented as 'm'. It is calculated as the ratio of the rise (change in y) over the run (change in x).

Front

How do you find the slope using rise/run?

Back

To find the slope using rise/run, identify two points on the line. Calculate the rise (difference in y-coordinates) and the run (difference in x-coordinates), then divide rise by run: m = rise/run.

Front

What does it mean if an equation has no solution?

Back

An equation has no solution when there are no values for the variable that can satisfy the equation, often resulting in a contradiction.

Front

What is a variable in an equation?

Back

Front

What does it mean if an equation has one solution?

Back

An equation has one solution when there is exactly one value for the variable that satisfies the equation.

Front

What is the formula for slope-intercept form?

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 if two lines are parallel?

Back

Two lines are parallel if they have the same slope but different y-intercepts.

Front

What is the y-intercept of a line?

Back

The y-intercept of a line is the point where the line crosses the y-axis, represented as 'b' in the slope-intercept form.

Front

What is the difference between one solution and infinite solutions?

Back

One solution means there is a single value for the variable that satisfies the equation, while infinite solutions mean any value for the variable satisfies the equation.

Front

How do you graph a linear equation?

Back

To graph a linear equation, find the y-intercept, plot it on the graph, then use the slope to find another point and draw a line through both points.