Slope Intercept, Point Slope, Standard Form

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 identify the slope from the equation y - 3 = 2(x + 4)?

Back

The slope is the coefficient of x, which is 2.

Front

What point does the line y - 3 = 2(x + 4) pass through?

Back

The line passes through the point (-4, 3).

Front

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

Back

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

Front

How do you convert the point-slope form to standard form?

Back

Rearrange the equation to the form Ax + By = C, where A, B, and C are integers.

Front

What is the standard form of the equation y - 7 = -2/3(x + 1)?

Back

The standard form is 2x + 3y = 19.

Front

What are the steps to graph a line using slope-intercept form?

Back

1. Plot the y-intercept (b). 2. Use the slope (m) to find another point. 3. Draw the line.

Front

Which of the following is in standard form: y = 0.5x + 2 or -7x + 2y = 9?

Back

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

Front

What does the slope of a line represent?

Back

The slope represents the rate of change of y with respect to x.

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).