Midterm Review Part two

Front

What does it mean for two lines to be parallel?

Back

Two lines are parallel if they have the same slope and will never intersect.

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 find the slope of a line given its equation in slope-intercept form?

Back

The slope is the coefficient of x in the equation y = mx + b.

Front

Back

The slope is 3.

Front

What is the relationship between the slopes of perpendicular lines?

Back

The slopes of perpendicular lines are negative reciprocals of each other.

Front

Back

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

How can you determine if two lines are neither parallel nor perpendicular?

Back

If the slopes of the two lines are different and not negative reciprocals, then the lines are neither parallel nor perpendicular.

Front

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

Back

The point-slope form is given by the equation y - y1 = m(x - x1), where m is the slope and (x1, y1) is a point on the line.

Front

Back

The point (2, 10) lies on this line.