Slope, Intercepts, and graphing Slope-Intercept Form

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

Back

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

Front

What is the x-intercept of a line?

Back

The x-intercept is the point where the line crosses the x-axis, represented as (x, 0).

Front

What is the y-intercept of a line?

Back

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

Front

What does a slope of 0 indicate about a line?

Back

A slope of 0 indicates that the line is horizontal.

Front

What does an undefined slope indicate about a line?

Back

An undefined slope indicates that the line is vertical.

Front

If a line has a slope of -2, what does this mean?

Back

A slope of -2 means that for every 1 unit increase in x, y decreases by 2 units.

Front

How do you graph the equation y = 2x + 3?

Back

Start at the y-intercept (0, 3) and use the slope (2) to rise 2 units and run 1 unit to the right.

Front

What is the slope of the line that passes through the points (1, 2) and (3, 6)?

Back

The slope is m = (6 - 2) / (3 - 1) = 4 / 2 = 2.

Front

What are the x and y-intercepts of the line represented by the equation 2x + 3y = 6?

Back

x-intercept: (3, 0), y-intercept: (0, 2).