Writing Linear Equations - PSF & SIF

Front

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

Back

The point-slope form of a linear equation is given by: y - y_1 = m(x - x_1), where (x_1, y_1) is a point on the line and m is the slope.

Front

How do you find the slope between two points (x_1, y_1) and (x_2, y_2)?

Back

The slope (m) is calculated using the formula: m = (y_2 - y_1) / (x_2 - x_1).

Front

What is slope-intercept form of a linear equation?

Back

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

Front

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

Back

To convert, solve for y in the point-slope equation: y - y_1 = m(x - x_1) to get y = mx + b.

Front

What is the y-intercept of the equation y = 3x + 5?

Back

The y-intercept is the point where the line crosses the y-axis, which is (0, 5) in this case.

Front

Given the equation y - 2 = 4(x + 1), what is the slope?

Back

The slope (m) is 4.

Front

What does it mean if a line has a slope of 0?

Back

A slope of 0 means the line is horizontal and does not rise or fall.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.

Front

How do you find the y-intercept from the equation y = -2x + 4?

Back

The y-intercept is found by setting x = 0, which gives y = 4. So, the y-intercept is (0, 4).

Front

If a line passes through the points (1, 2) and (3, 6), what is the slope?

Back

The slope is m = (6 - 2) / (3 - 1) = 4 / 2 = 2.