Point slope Form

Front

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

Back

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

Front

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

Back

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

Front

Write the point-slope form of the line with slope 2 that passes through the point (3, 4).

Back

y - 4 = 2(x - 3).

Front

What does the slope of a line represent?

Back

The slope of a line represents the rate of change of y with respect to x; it indicates how steep the line is.

Front

If a line has a slope of -1, what does this indicate about the line's direction?

Back

A slope of -1 indicates that the line descends from left to right at a 45-degree angle.

Front

Convert the equation y + 2 = 3(x - 1) to slope-intercept form.

Back

y = 3x - 5.

Front

What is the significance of the point (x₁, y₁) in the point-slope form?

Back

The point (x₁, y₁) is a specific point on the line that the equation represents.

Front

Write the equation of a line in point-slope form that has a slope of 4 and passes through the point (0, 0).

Back

y = 4x.

Front

How can you determine if two lines are parallel using their slopes?

Back

Two lines are parallel if they have the same slope.

Front

Write the point-slope form of the line that passes through (1, 2) with a slope of -2.

Back

y - 2 = -2(x - 1).