Standard Form to Slope Intercept

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form is given by the equation y = mx + b, where m is the slope and b is the y-intercept.

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 by isolating it on one side of the equation.

Front

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

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 a linear equation?

Back

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

Front

If the equation is y = 2x + 3, what is the slope and y-intercept?

Back

The slope is 2 and the y-intercept is 3.

Front

What is the first step to solve the equation -x + 2y = -10 for y?

Back

The first step is to add x to each side of the equation.

Front

After rearranging -x + 2y = -10, what is the next step to isolate y?

Back

Divide each term by 2 to solve for y.

Front

What is the significance of a negative slope in a linear equation?

Back

A negative slope indicates that as x increases, y decreases, resulting in a downward slant of the line.

Front

How can you identify the slope from the equation 3y = 6x + 9?

Back

First, convert to slope-intercept form: y = 2x + 3. The slope is 2.

Front

What is the process to graph a linear equation in slope-intercept form?

Back

Start at the y-intercept (b) on the y-axis, then use the slope (m) to find another point by rising and running.