Review Writing Equations of Lines (includes parallel & perp)

Front

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

Back

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

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

What does it mean for two lines to be perpendicular?

Back

Two lines are perpendicular if the product of their slopes is -1, meaning their slopes are opposite reciprocals.

Front

What is the slope of the line y = 3x + 4?

Back

The slope of the line is 3.

Front

If a line has a slope of 2, what is the slope of a line parallel to it?

Back

The slope of a line parallel to it is also 2.

Front

If a line has a slope of -1/4, what is the slope of a line perpendicular to it?

Back

The slope of a line perpendicular to it is 4.

Front

Write the equation of a line with a slope of 5 and a y-intercept of -3.

Back

y = 5x - 3.

Front

What is the y-intercept of the line y = -2x + 6?

Back

The y-intercept is 6.

Front

How do you find the y-intercept of a line given its equation in slope-intercept form?

Back

The y-intercept is the value of b in the equation y = mx + b.

Front

What is the equation of a line that is parallel to y = 2x + 1 and passes through the point (0, 3)?

Back

y = 2x + 3.