Review of standard form and point slope form

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 find the x-intercept of a linear equation?

Back

To find the x-intercept, set y = 0 in the equation and solve for x.

Front

How do you find the y-intercept of a linear equation?

Back

To find the y-intercept, set x = 0 in the equation and solve for y.

Front

What is point-slope form of a linear equation?

Back

The point-slope form is given by y - y1 = m(x - x1), where m is the slope and (x1, y1) is a point on the line.

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 slope of the line represented by the equation y + 1 = -3(x - 5)?

Back

The slope is -3.

Front

What are the x- and y-intercepts of the equation 4x - 10y = 20?

Back

x-intercept = 5, y-intercept = -2.

Front

Which of the following is in standard form: y = 1/2x + 2, y = 2x + 1, 7x + 2y = 9, or 2x + 3 = 6?

Back

7x + 2y = 9 is in standard form.

Front

What is the x-intercept of the equation -8x - 4y = 8?

Back

The x-intercept is (-1, 0).

Front

How do you convert from point-slope form to slope-intercept form?

Back

Distribute and rearrange the equation to isolate y.