Parallel Lines - Linear Equations

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 (m) but different y-intercepts.

Front

What is the slope of a line parallel to y = 3x + 2?

Back

The slope of a line parallel to y = 3x + 2 is 3.

Front

Convert the equation 2x + 3y = 18 to slope-intercept form.

Back

The slope-intercept form is y = -2/3x + 6.

Front

What does the point-slope form of a linear equation look like?

Back

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

Front

Write the point-slope form of the line with slope -1/4 passing through (4, -7).

Back

y + 7 = -1/4(x - 4).

Front

If two lines have slopes m1 = 5 and m2 = 5, are they parallel?

Back

Yes, they are parallel because they have the same slope.

Front

What is the relationship between the slopes of perpendicular lines?

Back

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

Front

Identify the slope of the line represented by the equation y = -2x + 3.

Back

The slope of the line is -2.

Front

What is the y-intercept of the line y = 4x - 1?

Back

The y-intercept is -1.