Graphing 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

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

Back

y = 3x + 6

Front

What does the 'm' in y = mx + b represent?

Back

The 'm' represents the slope (growth rate) of the line.

Front

What is the slope of the equation y = -3x - 9?

Back

The slope is -3.

Front

What does the 'b' in y = mx + b represent?

Back

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

Front

How do you find the slope between 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.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.

Front

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

Back

It means that for every 1 unit increase in x, y increases by 2 units.

Front

What is the y-intercept of the equation y = 4x + 5?

Back

The y-intercept is 5.