Writing Linear Equations

Front

What is the equation of a horizontal line through the point (-3, 8)?

Back

y = 8

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

How do you determine the slope from two points (x1, y1) and (x2, y2)?

Back

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

Front

What is the y-intercept of the equation y = 3x + 2?

Back

The y-intercept is (0, 2).

Front

How do you convert the standard form of a linear equation to slope-intercept form?

Back

Rearrange the equation to solve for y.

Front

What does the slope of a line represent?

Back

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

Front

What is the equation of a vertical line through the point (-3, 8)?

Back

x = -3

Front

Given the equation 4x + y = -10, what is the slope and y-intercept?

Back

Slope: -4, y-intercept: (0, -10)

Front

What is the slope of the line represented by the equation y = -2x + 5?

Back

The slope is -2.

Front

How do you find the x-intercept of the equation y = 3x + 6?

Back

Set y = 0 and solve for x: 0 = 3x + 6, x = -2.