Writing Equations in 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

What do the variables 'm' and 'b' represent in the slope-intercept form?

Back

In the equation y = mx + b, 'm' represents the slope of the line, and 'b' represents the y-intercept, the point where the line crosses the y-axis.

Front

How do you identify the slope from a graph?

Back

The slope is the ratio of the rise (vertical change) to the run (horizontal change) between two points on the line.

Front

What is the y-intercept of a line?

Back

The y-intercept is the value of y when x is 0, indicating where the line crosses the y-axis.

Front

If a line has a slope of 2 and a y-intercept of -3, what is its equation in slope-intercept form?

Back

The equation is y = 2x - 3.

Front

How can you convert the equation 3x + 2y = 6 into slope-intercept form?

Back

To convert, solve for y: 2y = -3x + 6, then y = -3/2x + 3.

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that the line rises from left to right.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that the line falls from left to right.

Front

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

Back

The slope (m) is calculated as m = (y2 - y1) / (x2 - x1).

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.