Writing Equations of Parallel Lines

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

Back

The slope of the line can be found as the coefficient of x in the equation y = mx + b.

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

If a line has a slope of -2/5, what is the slope of a line parallel to it?

Back

The slope of a line parallel to it is also -2/5.

Front

Write the equation of a line with a slope of 1/2 that passes through the point (0, -2).

Back

y = 1/2x - 2.

Front

What is the y-intercept of the line y = 5/2x + 9/2?

Back

The y-intercept is 9/2.

Front

How do you find the equation of a line given a point and a slope?

Back

Use the point-slope form: y - y1 = m(x - x1), where (x1, y1) is the point and m is the slope.

Front

What is the slope of the line described by the equation y = x - 2?

Back

The slope is 1.

Front

If a line has a slope of 9/4, what is the slope of a line parallel to it?

Back

The slope of a line parallel to it is also 9/4.

Front

Convert the equation y = -2/5x + 4 to standard form.

Back

The standard form is 2x + 5y = 20.