Graphs of Linear Equations

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

How do you convert the equation 5x + y = -5 to slope-intercept form?

Back

Rearranging gives y = -5x - 5.

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that as x increases, y also increases.

Front

What is the slope of the line represented by the equation y = -7x - 8?

Back

The slope (m) is -7.

Front

If m = 3 and b = 6, what is the slope-intercept equation?

Back

The equation is y = 3x + 6.

Front

What does the y-intercept represent in a linear equation?

Back

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

Front

How can you identify the slope from the equation y = 2x + 4?

Back

The slope (m) is 2.

Front

What is the equation of a line with a slope of -5 and a y-intercept of 2?

Back

The equation is y = -5x + 2.

Front

What does it mean if a line has a slope of 0?

Back

A slope of 0 means the line is horizontal.

Front

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

Back

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