Math 8 Unit 3: Writing Linear Equations from Tables & Graphs

Front

What is the slope-intercept form of a linear equation?

Back

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

Front

What does the slope (m) represent in a linear equation?

Back

The slope (m) represents the rate of change of y with respect to x, indicating how steep the line is.

Front

What does the y-intercept (b) represent in a linear equation?

Back

The y-intercept (b) is the point where the line crosses the y-axis, indicating the value of y when x = 0.

Front

How do you find the slope from a table of values?

Back

To find the slope, use the formula m = (y2 - y1) / (x2 - x1) using two points from the table.

Front

What is the first step to write a linear equation from a graph?

Back

Identify two points on the line and determine their coordinates (x1, y1) and (x2, y2).

Front

How do you write the equation of a line given its slope and y-intercept?

Back

Use the slope-intercept form y = mx + b, substituting m for the slope and b for the y-intercept.

Front

What is the significance of a negative slope in a linear equation?

Back

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

Front

What is the significance of a positive slope in a linear equation?

Back

A positive slope indicates that as x increases, y also increases, showing a direct relationship.

Front

How can you determine if a linear equation is increasing or decreasing?

Back

If the slope (m) is positive, the line is increasing; if the slope is negative, the line is decreasing.

Front

What is the equation of a line with a slope of -3 and a y-intercept of -3?

Back

The equation is y = -3x - 3.