Writing Linear Equations Review

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 find the slope of a line given two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated using the formula: m = (y2 - y1) / (x2 - x1).

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

What does it mean for two lines to be perpendicular?

Back

Two lines are perpendicular if the product of their slopes is -1 (m1 * m2 = -1).

Front

Given a point (x0, y0) and a slope m, how do you write the equation of a line?

Back

Use the point-slope form: y - y0 = m(x - x0).

Front

Convert the equation 10x - 8y = -16 to slope-intercept form.

Back

The slope-intercept form is y = rac{5}{4}x + 2.

Front

What is the y-intercept of the equation y = rac{2}{5}x + 2?

Back

The y-intercept is 2, which is the value of y when x = 0.

Front

How do you determine the slope of a line from its equation in slope-intercept form?

Back

The slope is the coefficient of x in the equation y = mx + b.

Front

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

Back

The slope of the perpendicular line would be rac{1}{5}.

Front

What is the significance of the point (0, b) in the slope-intercept form?

Back

The point (0, b) represents the y-intercept of the line.