What happens to the graph of a line when the slope is negative?

What happens to the graph of a line when the slope is negative?

A negative slope means that two variables are negatively related; that is, when x increases, y decreases, and when x decreases, y increases. Graphically, a negative slope means that as the line on the line graph moves from left to right, the line falls.

Which equation has steepest graphs?

If the absolute value of the slope ( that is, |m| ) is maximum then it is called it has the steepest graph. Hence, the line y = -10 x – 4 is closest to y-axis, ⇒ Line y = -10 x – 4 has the steepest graph.

What does an undefined slope look like?

An undefined slope (or an infinitely large slope) is the slope of a vertical line! The x-coordinate never changes no matter what the y-coordinate is! There is no run! In this tutorial, learn about the meaning of undefined slope.

How do you solve an undefined slope?

An undefined slope indicates that we have a vertical line parallel to the y-axis and passing through all points in the plane with an x-coordinate = constant ( c) The equation is written in the form x = c.

How do you find the standard form of an undefined slope?

The slope m is undefined for a vertical line. However, the line may still be expressed in Standard From, Ax + By = C. Since the slope is -A/B, a value of B=0 means that the slope is undefined; this leaves the equation as Ax = C. The x-intercept (x-value when y=0) is C/A.

What is the equation of the line through 2 3 with an undefined slope?

A line with a undefined slope is a vertical line which has a constant value of x. So if the line passes through (-2,-3) it passes through x = -2 for all values of y, and that is the equation of the line.

What is the slope of the line whose equation is 4x 6y 12?

Subtract 4x from both sides. Divide both sides by −6 . The slope is the coefficient of the x term. So, the slope would be 46 , which can be simplified to 23 .