Writing Equations in 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 'm' represent in the slope-intercept form?

Back

The 'm' represents the slope of the line, indicating how steep the line is.

Front

What does the 'b' represent in the slope-intercept form?

Back

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

Front

How do you find the y-intercept from a graph?

Back

The y-intercept is found at the point where the line crosses the y-axis (x=0).

Front

What is the y-intercept of the line represented by the equation y = 2x - 3?

Back

The y-intercept is -3.

Front

If a line has a positive slope, what does that indicate about the line's direction?

Back

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

Front

If a line has a negative slope, what does that indicate about the line's direction?

Back

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

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.

Front

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

Back

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