Writing Linear Equations

Front

What is the slope of a line parallel to m = 4?

Back

The slope is 4.

Front

Write the equation in point-slope form for the line that contains the points (-2, -3) and (4, 3).

Back

y + 3 = 1(x + 2)

Front

For the equation y - 3 = 2(x + 4), what point does the line contain?

Back

The point is (-4, 3).

Front

Which of these represents point-slope form of a linear equation?

Back

y - y₁ = m(x - x₁)

Front

What do the equations y = 5/7x + 2 and y = 5/7x - 30 represent?

Back

These lines are parallel.

Front

Define point-slope form of a linear equation.

Back

Point-slope form is y - y₁ = m(x - x₁), where (x₁, y₁) is a point on the line and m is the slope.

Front

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

Back

The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you find the slope between two points (x₁, y₁) and (x₂, y₂)?

Back

The slope m is calculated as m = (y₂ - y₁) / (x₂ - x₁).

Front

What does it mean if two lines are perpendicular?

Back

Two lines are perpendicular if the product of their slopes is -1.

Front

If a line has a slope of -3, what is the slope of a line parallel to it?

Back

The slope of the parallel line is also -3.