Writing Linear Equations

Front

What is the slope of a line parallel to a line with slope m?

Back

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

Front

What is the slope of a line perpendicular to a line with slope m?

Back

The slope of a line perpendicular to a line with slope m is -1/m.

Front

Write the point-slope form of a line with slope m that passes through the point (x₀, y₀).

Back

The point-slope form is: y - y₀ = m(x - x₀).

Front

What is the slope of the line represented by the equation -2x + y = -7?

Back

To find the slope, rewrite in slope-intercept form: y = 2x - 7. The slope is 2.

Front

If two lines have the same slope, what can we say about them?

Back

If two lines have the same slope, they are parallel.

Front

If two lines have slopes that are negative reciprocals of each other, what can we say about them?

Back

If two lines have slopes that are negative reciprocals, they are perpendicular.

Front

Convert the equation y = 3x + 5 to standard form.

Back

Standard form is: 3x - y = -5.

Front

What is the slope of a line that passes through the points (1, 2) and (3, 6)?

Back

The slope (m) is calculated as (y₂ - y₁) / (x₂ - x₁) = (6 - 2) / (3 - 1) = 2.

Front

What does the y-intercept represent in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis (x=0).

Front

How do you find the x-intercept of a linear equation?

Back

To find the x-intercept, set y = 0 and solve for x.