Algebra 1: 6.2 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

How do you convert a slope-intercept form to point-slope form?

Back

To convert from slope-intercept form (y = mx + b) to point-slope form, identify a point (x₁, y₁) on the line and use the slope m in the point-slope formula.

Front

What does the slope (m) represent in a linear equation?

Back

The slope (m) represents the rate of change of y with respect to x, indicating how steep the line is.

Front

Given the point (4, -7) and slope -1/4, write the equation in point-slope form.

Back

y + 7 = -1/4(x - 4)

Front

What is the slope of the line represented by the equation y - 3 = 2(x + 4)?

Back

The slope of the line is 2.

Front

Identify the point on the line represented by the equation y - 3 = 2(x + 4).

Back

The point on the line is (-4, 3).

Front

What is the relationship between point-slope form and slope-intercept form?

Back

Point-slope form can be converted to slope-intercept form by solving for y.

Front

Write the equation of the line in point-slope form that goes through the point (10, 5) and has a slope of -3.

Back

y - 5 = -3(x - 10)

Front

What is the standard form of a linear equation?

Back

The standard form is Ax + By = C, where A, B, and C are integers.

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).