8.1 Slope-Intercept Form and Standard Form

Front

What is the Slope-Intercept Form of a linear equation?

Back

Front

What does the slope (m) represent in the Slope-Intercept Form?

Back

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

Front

What does the y-intercept (b) represent in the Slope-Intercept Form?

Back

The y-intercept (b) is the point where the line crosses the y-axis, meaning the value of y when x = 0.

Front

How do you convert an equation from Standard Form to Slope-Intercept Form?

Back

To convert from Standard Form (Ax + By = C) to Slope-Intercept Form (y = mx + b), solve for y.

Front

What is the Standard Form of a linear equation?

Back

Front

What is the first step to graphing a line given in Standard Form?

Back

The first step is to solve for y to convert the equation into Slope-Intercept Form.

Front

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

Back

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

Front

Back

The slope of the line is -3.

Front

Back

The y-intercept is -7, which is the value of y when x = 0.

Front

Back