If the slope of a line is undefined, then the line is a vertical line, so it cannot be written in slope-intercept form, but it can be written in the form: x=a , where a is a constant. If the line has an undefined slope and passes through the point (2,3) , then the equation of the line is x=2 .
What is the equation of a 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 equation of a line with undefined slope?
Explanation: 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.
What does an equation with an undefined slope look like?
A vertical line has undefined, or infinite, slope. If you attempt to find the slope using rise over run or any other slope formula, you will get a 0 in the denominator. … The equation of a line with undefined slope will look like x = ‘something. ‘
What is the equation of a line with an undefined slope that goes through point (- 3 5?
The only lines with undefined slope are vertical, that is whose equations are of the form x=constant. Through the point (-3,5) that line is x=-3.
What is a zero slope equation?
A zero slope line is a straight, perfectly flat line running along the horizontal axis of a Cartesian plane. The equation for a zero slope line is one where the X value may vary but the Y value will always be constant. An equation for a zero slope line will be y = b, where the line’s slope is 0 (m = 0).
What is Y 5x in slope-intercept form?
The slope-intercept form is y=mx+b y = m x + b , where m is the slope and b is the y-intercept. y=mx+b. The equation is already in slope-intercept form. y=5x. y=5x.
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 does the equation of a line look like?
A linear equation can be expressed in the form . In this equation, x and y are coordinates of a point, m is the slope, and b is the y-coordinate of the y-intercept. Because this equation describes a line in terms of its slope and its y-intercept, this equation is called the slope-intercept form.
What happens when a slope is undefined?
If the denominator of the fraction is 0, the slope is undefined. This occurs if the x value is the same for both points. The graph would be a vertical line and would indicate that the x value stays constant for every value of y. If the numerator of the fraction is 0, the slope is 0.
What does a positive slope look like?
What the Slope Means. … A positive slope means that two variables are positively related—that is, when x increases, so does y, and when x decreases, y decreases also. Graphically, a positive slope means that as a line on the line graph moves from left to right, the line rises.
What does 0 slope look like?
When the ‘rise’ is zero, then the line is horizontal, or flat, and the slope of the line is zero. Put simply, a zero slope is perfectly flat in the horizontal direction. The equation of a line with zero slope will not have an x in it. It will look like ‘y = something.’
What is the equation of the line that passes through the points (- 6 6 and has a slope of?
The point we are given is (x1, y1) = (-6,6) and m is undefined. I assume that undefined here does not mean unknown, but that it has an infinite slope, i.e. the line points either straight up or straight down. That means it’s a vertical line, which has the form x = x1. So the line equation is x = -6.
Which is the slope of the line that passes through the points 3 17 and 7 25 )?
Answer: The slope is 2.
What is the equation of the line that passes through the point (- 8/5 and has a slope of 0?
The equation is y = 5. Therefore y = mx + b and y = 0x + 5 or y = 5.