Standard Form Practice

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 in terms of x.

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 is the standard form of a linear equation?

Back

The standard form of a linear equation is Ax + By = C, where A, B, and C are integers, and A should be non-negative.

Front

How do you rewrite the equation 4y = 3 - \frac{4}{5}x in standard form?

Back

Rearranging gives 4x + 20y = 15.

Front

What is the first step to rewrite y - 2 = \frac{4}{3}(x - 1) in standard form?

Back

Distribute \frac{4}{3} to (x - 1) and then isolate the terms to one side.

Front

What does the y-intercept (b) represent in the slope-intercept form?

Back

The y-intercept (b) represents the point where the line crosses the y-axis.

Front

How can you identify the slope from the equation y = -\frac{6}{5}x - 3?

Back

The slope is -\frac{6}{5}, which indicates the line descends as x increases.

Front

What is the significance of the inequality -2x - 4y < 4?

Back

It represents a region on the graph where the values of y are less than the line defined by the equation -2x - 4y = 4.

Front

How do you determine if a point (x, y) is a solution to the inequality -2x - 4y < 4?

Back

Substitute the x and y values into the inequality and check if the statement holds true.