Parallel equations given a point

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 m.

Front

How do you find the equation of a line parallel to a given line through a specific point?

Back

To find the equation, use the slope of the given line and the point-slope form: y - y1 = m(x - x1).

Front

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

Back

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

Front

If a line has the equation y = 4x + 2, what is the slope of any line parallel to it?

Back

The slope of any line parallel to y = 4x + 2 is 4.

Front

Write the equation of a line parallel to y = 5x - 3 that passes through the point (1, 2).

Back

y = 5x - 3.

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

If a line is parallel to y = -x + 4, what is the slope of that line?

Back

The slope of the line parallel to y = -x + 4 is -1.

Front

Write the equation of a line parallel to y = 2x + 1 that passes through the point (0, 3).

Back

y = 2x + 3.

Front

What is the y-intercept of the line parallel to y = 3x - 2 that passes through the point (2, 4)?

Back

The y-intercept is 0, so the equation is y = 3x.

Front

How do you determine the y-intercept of a parallel line given a point?

Back

Substitute the x-value of the point into the equation y = mx + b and solve for b.