Slope Intercept Form

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 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 is the point where the line crosses the y-axis, represented as (0, b).

Front

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

Back

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

Front

If a line has a slope of 3, what does this mean?

Back

A slope of 3 means that for every 1 unit increase in x, y increases by 3 units.

Front

What is the y-intercept of the equation y = 2x + 5?

Back

The y-intercept is 5, represented as the point (0, 5).

Front

Write the equation of a line with a slope of -2 and a y-intercept of 4.

Back

The equation is y = -2x + 4.

Front

What is the slope of the line represented by the equation y = 1/2x - 3?

Back

The slope is 1/2.

Front

How can you determine if a line is increasing or decreasing from its slope?

Back

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

Front

What is the y-intercept of the line represented by the equation y = -x + 1?

Back

The y-intercept is 1, represented as the point (0, 1).