Math 8 Chapter 4 Flashcard 12.13.2024

Front

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

Back

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

Front

What does the 'm' represent in the equation y = mx + b?

Back

The 'm' represents the slope of the line, indicating the rate of change.

Front

What does the 'b' represent in the equation y = mx + b?

Back

The 'b' represents the y-intercept, the point where the line crosses the y-axis.

Front

How do you find the y-intercept from the equation y = 2x + 3?

Back

The y-intercept is 3, which is the value of y when x = 0.

Front

What is the slope of the line represented by the equation y = 4x + 5?

Back

The slope is 4.

Front

If a line has a slope of -2, what does this indicate about the line's direction?

Back

The line decreases as it moves from left to right.

Front

What is the equation of a line that passes through the point (0, 3)?

Back

y = mx + 3, where m is the slope.

Front

How do you determine the slope from two points (x1, y1) and (x2, y2)?

Back

Slope (m) = (y2 - y1) / (x2 - x1).

Front

What is the equation of a line with a slope of 3 that passes through the point (1, 2)?

Back

y = 3x - 1.

Front

What is the growth rate in the equation y = -2x + 5?

Back

The growth rate (slope) is -2.