Point-Slope Form

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

Identify the slope in the equation y - 3 = 2(x - 4).

Back

The slope (m) is 2.

Front

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

Back

The slope-intercept form is y = -3x - 5.

Front

What does the 'm' represent in the point-slope form?

Back

In the point-slope form, 'm' represents the slope of the line.

Front

Write the point-slope form for a line with slope 4 passing through the point (1, 2).

Back

The point-slope form is y - 2 = 4(x - 1).

Front

Which of the following is NOT a point-slope equation? y - 0 = 1/2(x + 2), y - 1 = 1/2(x - 0), y + 2 = 1/2(x + 2), y - 2 = 1/2(x - 2)

Back

y + 2 = 1/2(x + 2) is NOT a correct point-slope equation.

Front

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

Back

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

Front

If a line has a slope of -1 and passes through the point (3, 4), what is the point-slope form?

Back

The point-slope form is y - 4 = -1(x - 3).

Front

What is the equation of the line in slope-intercept form if the point-slope form is y + 5 = -3(x - 6)?

Back

The slope-intercept form is y = -3x + 13.

Front

Write the point-slope form for a line with slope -2 that passes through the point (4, 1).

Back

The point-slope form is y - 1 = -2(x - 4).