Writing Equations of Lines (short)

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?

Back

The slope (m) between two points (x1, y1) and (x2, y2) is calculated using the formula m = (y2 - y1) / (x2 - x1).

Front

What does the y-intercept represent in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, represented by the value of b in the slope-intercept form y = mx + b.

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 equation of a vertical line that passes through x = 4?

Back

The equation of a vertical line is x = 4.

Front

What is the equation of a horizontal line that passes through y = -3?

Back

The equation of a horizontal line is y = -3.

Front

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

Back

To convert from standard form Ax + By = C to slope-intercept form, solve for y: y = (-A/B)x + (C/B).

Front

What is the slope of a line that is parallel to the line y = 2x + 5?

Back

The slope of a parallel line is the same, so it is 2.

Front

What is the slope of a line that is perpendicular to the line y = -1/3x + 4?

Back

The slope of a perpendicular line is the negative reciprocal, so it is 3.

Front

Write the equation of the line that passes through the points (0, 0) and (2, 4).

Back

y = 2x.