Point Slope Form / Intercept Form / Standard Form Flashcard

Front

Convert the equation -4x + 5y = 10 to slope-intercept form.

Back

y = (4/5)x + 2

Front

Write an equation in point-slope form for a line with a slope of 3 passing through the point (5, -2).

Back

y + 2 = 3x - 15

Front

What is the slope of a line parallel to the line with equation y = 4x + 2?

Back

4

Front

What is the slope of a line perpendicular to the line with equation y = -2x + 5?

Back

1/2

Front

Write an equation in point-slope form for a line with a slope of 1/3 passing through the point (4, -1).

Back

y + 1 = (1/3)(x - 4)

Front

What is the general form of a linear equation?

Back

Ax + By = C, where A, B, and C are constants.

Front

What does the slope represent in a linear equation?

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

Slope (m) = (y2 - y1) / (x2 - x1).

Front

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

Back

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

Front

What is the y-intercept in the equation y = 3x + 4?

Back

The y-intercept is 4.