Write Linear Equation using Slope and y-intercept

Front

What is the general form of a linear equation?

Back

y = mx + b, where m is the slope and b is the y-intercept.

Front

What does the slope (m) represent in a linear equation?

Back

The slope represents the rate of change of y with respect to x, indicating how steep the line is.

Front

How do you find the slope of a line given two points (x1, y1) and (x2, y2)?

Back

Slope (m) = (y2 - y1) / (x2 - x1).

Front

What is the y-intercept (b) in a linear equation?

Back

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

Front

If a line has a slope of 0, what does that indicate about the line?

Back

A slope of 0 indicates a horizontal line.

Front

If a line has an undefined slope, what does that indicate about the line?

Back

An undefined slope indicates a vertical line.

Front

How can you write the equation of a line if you know the slope and y-intercept?

Back

Use the formula y = mx + b, substituting the known values for m and b.

Front

What is the equation of a line with a slope of -1 and a y-intercept of 8?

Back

y = -x + 8.

Front

What is the equation of a line with a slope of -3 and a y-intercept of -3?

Back

y = -3x - 3.

Front

What is the equation of a horizontal line that crosses the y-axis at 7?

Back

y = 7.