Writing Equations of Lines

Front

What is the slope-intercept form of a line?

Back

The slope-intercept form of a line is given by the equation y = mx + b, where m is the slope and b is the y-intercept.

Front

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

Back

The slope (m) is calculated using the formula m = (y2 - y1) / (x2 - x1).

Front

What does the slope of a line represent?

Back

The slope of a line represents the rate of change of y with respect to x; it indicates how steep the line is.

Front

What is the y-intercept of a line?

Back

The y-intercept is the point where the line crosses the y-axis, represented by the value of y when x = 0.

Front

Write the equation of a line with slope 3 that passes through the point (1, 2).

Back

y = 3x - 1.

Front

What is the slope of the line represented by the equation y = -2x + 4?

Back

The slope is -2.

Front

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

Back

The y-intercept is 3.

Front

Write the equation of the line through the points (0, 0) and (4, 8).

Back

y = 2x.

Front

How do you convert the standard form of a line Ax + By = C to slope-intercept form?

Back

Rearrange the equation to solve for y: y = (-A/B)x + (C/B).

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.