What is the slope of 0 and undefined slope?
Well you know that having a 0 in the denominator is a big no, no. This means the slope is undefined. As shown above, whenever you have a vertical line your slope is undefined.
What happens if the slope is 0 in slope-intercept form?
If an equation of a line in slope-intercept form (y=mx+b) has no x variable, this means that the slope is 0. When m=0, this means that the “mx” portion of the line’s equation is 0. The result is that y=b. Remember that a line with a slope of 0 is a horizontal line.
How do you find the slope-intercept form if the slope is undefined?
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 .
How do you write an equation in slope-intercept form when the slope is 0?
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 are undefined slopes?
What Is an Undefined Slope? The slope of a line is undefined if the line is vertical. If you think of slope as rise over run, then the line rises an infinite amount, or goes straight up, but does not run at all.
Which equation has a 0 slope?
y = b
The equation for a zero slope line is y = b, which means that y is equal to a constant. The b in the equation is equal to the y-intercept, or what y is equal to when x is 0.
What happens if y-intercept is 0?
y=mx + b When the equation is in this form, the coefficient of x will be the slope and the y-intercept will be (0,b). If the denominator of the fraction is 0, the slope is undefined. This occurs if the x value is the same for both points.
What is the equation for a zero slope?
What happens when a slope is undefined?
The slope of a line is undefined if the line is vertical. If you think of slope as rise over run, then the line rises an infinite amount, or goes straight up, but does not run at all.
How do you write an equation when the y-intercept is 0?
The y-intercept is what y equals when x equals 0. The y-intercept can always be written as (0,y). If the y-intercept is 0, then that means the line passes through the point (0,0) which is also the origin.
How to write an undefined slope?
1 Answer. 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 .
How do you calculate slope and intercept?
Finding the y-intercept, Given the Slope and One Point Set up the formula y=mx+b{\\displaystyle y=mx+b}. In the formula, y = the y-coordinate of any point on the line, m = slope, x = the x-coordinate of any point on the line, and b = the y-intercept. y=mx+b{\\displaystyle y=mx+b} is the equation of a line.
What are the steps to slope intercept form?
Example 1: Graphing Using Slope Intercept Form. Step 2: From the y-intercept (0,4) use the slope to plot your next point. The slope is 2, so you will rise 2 (up) and run 1 (to the right). Step 3: Draw a line through your two points. This line represents the equation y = 2x + 4.
How do you solve slope intercept form?
The slope intercept form of an equation is y = mx + b, which defines a line. When the line is graphed, m is the slope of the line and b is where the line crosses the y-axis or the y-intercept. You can use slope intercept form to solve for x, y, m, and b.