Ch. 4 Finals Review Pt. 2

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

What is the slope of a line that is perpendicular to a line with slope m = 5/8?

Back

The slope of a line that is perpendicular to a line with slope m = 5/8 is -8/5.

Front

Back

Front

Write the equation in point-slope form of the line that passes through the point (-2, -1) with slope m = -3.

Back

The equation in point-slope form is: y + 1 = -3(x + 2).

Front

Back

Front

Define slope in the context of a linear equation.

Back

Slope is a measure of the steepness of a line, calculated as the ratio of the vertical change (rise) to the horizontal change (run) between two points on the line.

Front

What does the variable 'm' represent in the equation of a line?

Back

In the equation of a line, 'm' represents the slope of the line.

Front

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

Back

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

Front

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

Back

The point (x₁, y₁) represents a specific point on the line, which is used to define the line's equation in point-slope form.

Front

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

Back

A line with a slope of 0 is horizontal, indicating that there is no vertical change as you move along the line.