Point slope Form 1

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 following point-slope equation to slope-intercept form: y - 5 = \frac{1}{3}(x - 18)

Back

The slope-intercept form is y = \frac{1}{3}x - 1.

Front

What does 'm' represent in the slope formula?

Back

'm' represents the slope of the line.

Front

Write the point-slope form of the line that passes through the point (-2, -1) with a slope of -3.

Back

The equation is y + 1 = -3(x + 2).

Front

Using m = 2 and the point (-4, 5), write the equation in point-slope form.

Back

The equation is y - 5 = 2(x + 4).

Front

What is the slope of a line that rises 3 units for every 2 units it runs?

Back

The slope (m) is \frac{3}{2}.

Front

If a line has a slope of 0, what does that indicate about the line?

Back

A slope of 0 indicates that the line is horizontal.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.

Front

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

Back

The slope is calculated using the formula: m = \frac{y₂ - y₁}{x₂ - x₁}.

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 used to define the line's position.