3.2 Quick Check- Math 8

Front

What is the rate of change in a linear function?

Back

The rate of change is the ratio of the change in the y-values to the change in the x-values, often represented as the slope of the line.

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 determine if a graph is proportional?

Back

A graph is proportional if it passes through the origin (0,0) and has a constant rate of change.

Front

What does it mean if a graph is nonproportional?

Back

A nonproportional graph does not pass through the origin and has a varying rate of change.

Front

How can you find the point where two linear equations intersect?

Back

To find the intersection point, set the equations equal to each other and solve for x, then substitute back to find y.

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 is 0.

Front

What does a slope of 0 indicate about a line?

Back

A slope of 0 indicates a horizontal line, meaning there is no change in y as x changes.

Front

What does an undefined slope indicate about a line?

Back

An undefined slope indicates a vertical line, meaning x remains constant while y changes.

Front

How do you write an equation of a line given a slope and a point?

Back

Use the point-slope form: y - y1 = m(x - x1), where (x1, y1) is the point and m is the slope.

Front

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

Back

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