Algebra ETA Q2: Different forms of Equations

Front

What is a direct variation?

Back

A direct variation is a relationship between two variables where one variable is a constant multiple of the other. It can be expressed in the form y = kx, where k is a non-zero constant.

Front

What ordered pair does a direct variation always go through when graphed?

Back

(0,0)

Front

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

Back

The Point-Slope Form is given by the equation y - y_1 = m(x - x_1), where m is the slope and (x_1, y_1) is a point on the line.

Front

Convert the Point-Slope Form to Slope-Intercept Form.

Back

To convert from Point-Slope Form (y - y_1 = m(x - x_1)) to Slope-Intercept Form (y = mx + b), solve for y.

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

Which of the following is in Standard Form? 3x + 16 = 5y

Back

Yes, it is in Standard Form.

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 find the slope from two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated as m = (y2 - y1) / (x2 - x1).

Front

What does the slope of a line represent?

Back

The slope represents the rate of change of y with respect to x; it indicates how steep the line is.

Front

What is the equation of a vertical line?

Back

The equation of a vertical line is of the form x = a, where a is the x-coordinate of any point on the line.