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 of a line given 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 y-intercept represent in the equation of a line?

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 a slope of 2 and a y-intercept of 3.

Back

y = 2x + 3.

Front

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

Back

The equation of the vertical line is x = 4.

Front

What is the equation of a horizontal line that passes through y = -1?

Back

The equation of the horizontal line is y = -1.

Front

Convert the equation 2x + 3y = 6 to slope-intercept form.

Back

y = -2/3x + 2.

Front

How do you determine if two lines are parallel?

Back

Two lines are parallel if they have the same slope but different y-intercepts.

Front

How do you determine if two lines are perpendicular?

Back

Two lines are perpendicular if the product of their slopes is -1.

Front

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

Back

y = -x + 3.