IM Grade 8 Unit 3 Review

Front

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

Back

Front

How do you determine if a point lies on a line represented by an equation?

Back

To determine if a point (x, y) lies on a line, substitute the x-value into the equation and see if the resulting y-value matches the y-value of the point.

Front

What does the slope of a line represent?

Back

The slope of a line represents the rate of change of y with respect to x, indicating how much y changes for a unit change in x.

Front

What is the formula for calculating the slope between two points?

Back

Front

What does 'rise over run' mean in the context of slope?

Back

'Rise over run' refers to the vertical change (rise) divided by the horizontal change (run) between two points on a line.

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, representing the value of y when x = 0.

Front

How can you find the rate of change from a graph?

Back

The rate of change can be found by calculating the slope of the line on the graph, which is the change in y over the change in x.

Front

What does it mean if two lines are parallel?

Back

Two lines are parallel if they have the same slope and will never intersect.

Front

What is the difference between a linear equation and a nonlinear equation?

Back

Front

How do you graph a linear equation?

Back

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