Standard Form & Point Slop Form & Parallel / Perpendicular

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

Convert the point-slope form y - 5 = 2(x - 3) to slope-intercept form.

Back

y = 2x - 6 + 5, which simplifies to y = 2x - 1.

Front

What is the slope of a line parallel to a line with slope m = 2/3?

Back

The slope of a line parallel to m = 2/3 is also 2/3.

Front

What is the slope of a line perpendicular to a line with slope m = 4/5?

Back

The slope of a line perpendicular to m = 4/5 is -5/4.

Front

Write the equation of a line in slope-intercept form that has a slope of 3 and passes through the point (1, 2).

Back

Using the point-slope form: y - 2 = 3(x - 1), which simplifies to y = 3x - 1.

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.

Front

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

Back

The standard form is 2x + y = 4.

Front

What is the standard form of a linear equation?

Back

The standard form is Ax + By = C, where A, B, and C are integers.

Front

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

Back

The equation is y = 5x - 7.