Writing equations for parallel lines

Front

What is the slope of a line parallel to y = mx + b?

Back

The slope of a line parallel to y = mx + b is also m.

Front

How do you write the equation of a line in slope-intercept form?

Back

The equation of a line in slope-intercept form is written as y = mx + b, where m is the slope and b is the y-intercept.

Front

What does it mean for two lines to be parallel?

Back

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

Front

Write an equation for the line parallel to y = 2x + 3 that passes through (4, 5).

Back

y = 2x - 3.

Front

If a line has a slope of -1, what is the slope of a line parallel to it?

Back

The slope of a line parallel to it is also -1.

Front

What is the y-intercept of the line y = 4x + 2?

Back

The y-intercept is 2.

Front

Write an equation for the line parallel to y = 5x - 1 that passes through (0, 3).

Back

y = 5x + 3.

Front

How do you find the y-intercept of a line given its slope and a point on the line?

Back

Use the point-slope form: y - y1 = m(x - x1) to find the y-intercept.

Front

Write an equation for the line parallel to y = -3x + 4 that passes through (2, 1).

Back

y = -3x + 7.

Front

What is the general form of a linear equation?

Back

The general form of a linear equation is Ax + By + C = 0.