Write an equation of the line passing through the given...

Write an equation of the line passing through the given point and having the given slope. Give the equation (a) in slope-intercept form and (b) in standard form.
$$
(-1,6) ; \text { slope }-\frac{5}{6}
$$

Labs

Want to see this concept in action?

NEW

Explore this concept interactively to see how it behaves as you change inputs.

View Labs

Key Concepts

Slope

Slope is a measure of the steepness and direction of a line, representing the change in the vertical direction for a unit change in the horizontal direction. It is a crucial concept in linear equations and is used to determine how the dependent variable changes with respect to the independent variable.

Point-Slope Form

The point-slope form of a linear equation allows you to write the equation of a line when you know the slope and one point on the line. It is typically written as y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope.

Slope-Intercept Form

The slope-intercept form expresses a linear equation in the format y = mx + b, where m represents the slope and b represents the y-intercept, the point where the line crosses the y-axis. This form is useful for quickly identifying the key characteristics of a line.

Standard Form

The standard form of a linear equation is usually written as Ax + By + C = 0, where A, B, and C are integers and A is typically non-negative. This form is often used for analyzing linear equations in algebra and for further operations like finding intersections of lines.

Transcript

Please give Ace some feedback