Remember, slope is a rate of change. Hit Return to see all results Really clear math lessons (pre-algebra, algebra, precalculus), cool math games, online graphing calculators, geometry art, fractals, polyhedra, parents and teachers areas too. The slope of a vertical line is undefined. Questions asked by the same visitor . Hence its slope is zero. Learn how to find the equation and slope of a horizontal line and the NICOLEism HEY-O to help you remember it. This relationship always holds: a slope of zero means that the line is horizontal, and a horizontal line means you'll get a slope of zero. Definition: The slope of a line is a number that measures its "steepness", usually denoted by the letter m. It is the change in y for a unit change in x along the line. Your browser seems to have Javascript disabled. Slope of a Horizontal Line. $$\begin{array}{ccccc}\text{What is the rise? but from our detailed analysis of the horizontal line, you should quickly be able to jump to the calculation m = (y2 - y1) / (x - x) notice I didn't use a subscript on the x's because for a vertical line, x is always the same. But where do we start? Example 2 : Write an equation of the line which passes through (-4, 1), (-4, 7). Register or login to make commenting easier. \(\begin{array}{ccccc}\text{What is the rise? You can put this solution on YOUR website! This is true only when the slope… It’s not as interesting as other functions, but it doesn’t get much simpler than this. Added 1/31/2015 1:20:11 AM. In this case, there is no answer for the slope. Its slope is 0. ). In this chapter, we graphed lines by plotting points, by using intercepts, and by recognizing horizontal and vertical lines. 0. The slope of a horizontal line, \(y=b$$, is 0. Therefore, regardless of what the run is (provided its' not also zero! We're sorry, but in order to log in and use all the features of this website, you will need to enable JavaScript in your browser. But we can’t divide by 0. }\hfill & & \phantom{\rule{5em}{0ex}}& & \begin{array}{c}\begin{array}{ccc}\hfill m& =\hfill & \frac{\text{rise}}{\text{run}}\hfill \\ \hfill m& =\hfill & \frac{0}{3}\hfill \\ \hfill m& =\hfill & 0\hfill \end{array}\hfill \\ \text{The slope of the horizontal line}\phantom{\rule{0.2em}{0ex}}y=4\phantom{\rule{0.2em}{0ex}}\text{is 0. From this we come to know t he given line is horizontal line. Informally, the slope of a line is found with the catchy phrase “rise over run“.This works with any segment, of any length, for any straight line: . The slope of a horizontal line is 0. What is the slope of a horizontal line? Steeper downhill lines have negative slopes that have larger sizes. The slope of a horizontal line is zero. Why?. Slope = Change in YChange in X : Have a play (drag the points): Examples: The Slope of this line = 3 3 = 1. Since they are equal, the line is horizontal.Since the line passes the y-axis at 7, the equation of the line is 0 divided by anything is 0, so the slope of a horizontal line … Hint: RISE over RUN Hint: Vertical line. This results in a slope of zero. Really clear math lessons (pre-algebra, algebra, precalculus), cool math games, online graphing calculators, geometry art, fractals, polyhedra, parents and teachers areas too. Its slope is 0. ), the fraction representing slope has a zero in its numerator. Sometimes the ratio is expressed as a quotient ("rise over run"), giving the same number for every two distinct points on the same line. 0 1 2 Find the slope of the line y = -3. When the x-coordinates of a line are all the same, the run is 0. Go to your Tickets dashboard to … Straight Up and Down Slope = 3 0 = undefined That last one is a bit tricky... you can't divide by zero, The slope of a horizontal line, y = b. y = b. , is 0. So how do we find the slope of the horizontal line $$y=4$$? Slope: The slope of a line is the ratio of the change in the y-coordinates to the corresponding change in the x-coordinates. SLOPE OF A HORIZONTAL AND VERTICAL LINE. A horizontal line has no slope, whereas a vertical line has an undefined slope.... #Answerfortrees . A positive slope means that two variables are positively related—that is, when x increases, so does y, and when x decreases, y also decreases. This answer has been confirmed as correct and helpful. Slope equation leads to a division by zero, which is undefined height by the \! Figure \ ( y=b\ ), the road that snakes northward to anything... The slope ( also called Gradient ) of a horizontal line to you. 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