Write Equations in 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 y - y₁ = m(x - x₁), where (x₁, y₁) is a point on the line and m is the slope.

Front

How do you determine the slope from the equation y - 6 = 3(x + 2)?

Back

The slope (m) is the coefficient of (x) in the point-slope form. Here, m = 3.

Front

Write the equation in point-slope form for a line with slope 2 passing through the point (5, -3).

Back

The equation is y + 3 = 2(x - 5).

Front

What does the 'm' represent in the point-slope form of a linear equation?

Back

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

Front

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

Back

The slope (m) is 2.

Front

Which of the following is a characteristic of point-slope form?

Back

Point-slope form allows you to easily write the equation of a line when you know a point on the line and its slope.

Front

Convert the equation y - 3 = 4(x + 1) to slope-intercept form.

Back

The slope-intercept form is y = 4x + 7.

Front

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

Back

The point (x₁, y₁) is a specific point through which the line passes.

Front

If a line has a slope of -3, what would the point-slope form look like if it passes through (2, 5)?

Back

The equation would be y - 5 = -3(x - 2).

Front

What is the general form of a linear equation?

Back

The general form of a linear equation is Ax + By = C.