Rewriting Standard Form Equations

Front

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

Back

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

Front

How do you convert the equation 5x - 3y = -9 to slope-intercept form?

Back

To convert, solve for y: 3y = 5x + 9, then y = (5/3)x + 3.

Front

What does 'slope' 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

What does 'y-intercept' mean in the context of a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, represented by the value of b in y = mx + b.

Front

Convert the equation -1y + 5x = 12 to slope-intercept form.

Back

y = 5x - 12.

Front

What is the value of x in the equation 2x - 8 = 0?

Back

x = 4.

Front

What is the value of r in the equation 3r - 12 = 0?

Back

r = 4.

Front

Which equation represents a line with a slope of -5?

Back

y = -5x + b, where b can be any real number.

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 is the standard form of a linear equation?

Back

The standard form is Ax + By = C, where A, B, and C are integers.