Q2W2 GEO Slopes/ Perp Bisectors/ //

Front

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

Back

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

Front

How do you convert an equation to standard form?

Back

To convert to standard form, rearrange the equation to the form Ax + By = C, where A, B, and C are integers, and A should be non-negative.

Front

What is the equation of the perpendicular bisector of a line segment?

Back

The equation of the perpendicular bisector can be found using the midpoint of the segment and the negative reciprocal of the slope of the segment.

Front

How do you find the slope of a line given two points?

Back

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

Front

What is the relationship between parallel lines in terms of slope?

Back

Parallel lines have the same slope. If two lines are parallel, their slopes (m₁ and m₂) are equal: m₁ = m₂.

Front

What is the relationship between perpendicular lines in terms of slope?

Back

Perpendicular lines have slopes that are negative reciprocals of each other. If m₁ is the slope of one line, then the slope of the perpendicular line m₂ is given by m₂ = -1/m₁.

Front

How do you determine the y-intercept of a line from its equation?

Back

The y-intercept can be found by setting x = 0 in the equation of the line and solving for y.

Front

What is standard form of a linear equation?

Back

The standard form of a linear equation is Ax + By = C, where A, B, and C are integers, and A should be non-negative.

Front

How do you graph a linear equation?

Back

To graph a linear equation, find two points that satisfy the equation and plot them on a coordinate plane, then draw a line through the points.

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.