Writing Equations of Parallel Lines

Front

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

Back

The slope-intercept form of a linear equation is given by the formula 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 a line in slope-intercept form (y = mx + b) is the coefficient m of x.

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 a line with a slope of -2/5 is also -2/5.

Front

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

Back

You can use the point-slope form of the equation: y - y1 = m(x - x1), where (x1, y1) is the point and m is the slope.

Front

What is the y-intercept of the line described by the equation y = -3/2x + 2?

Back

The y-intercept of the line is 2, which is the value of b in the slope-intercept form.

Front

How can you convert the equation of a line from standard form to slope-intercept form?

Back

To convert from standard form (Ax + By = C) to slope-intercept form (y = mx + b), solve for y.

Front

What is the slope of the line described by the equation y = -2/3x - 3?

Back

The slope of the line is -2/3, which is the coefficient of x in the slope-intercept form.

Front

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

Back

The slope of a line parallel to a line with a slope of 5 is also 5.

Front

What is the significance of the y-intercept 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.