what is the slope of a horizontal line

Really clear math lessons (pre-algebra, algebra, precalculus), cool math games, online graphing calculators, geometry art, fractals, polyhedra, parents and teachers areas too. But we can’t divide by 0. Learn how to calculate a zero slope with the slope formula and a graph. The Slope-Intercept Form of a Line. Equation of Horizontal Line always takes the form of y = k where k is the y-intercept of the line.For instance in the graph below, the horizontal line has the equation y = 1 As you can see in the picture below, the line goes perfectly sideways at y =1. The same goes for the steepness of a line. When the x-coordinates of a line are all the same, the run is 0. The slope of any vertical line is undefined. ), the fraction representing slope has a zero in its numerator. One hour passes, two hours pass, but you’re still one mile away from downtown. Slope Formula : The slope m m of the line through A(xA,yA) A ( x A, y A) and B(xB,yB) B ( x B, y B) is determined by the following formula. Slope of a Horizontal Line. In this chapter, we graphed lines by plotting points, by using intercepts, and by recognizing horizontal and vertical lines. The slope is undefined. }\hfill & & \phantom{\rule{5em}{0ex}}& & \text{The rise is 0. 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. Using the (arbitrary) points from the line, (–3, 4) and (5, 4), the slope computes as: 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. What does a positive slope look like? 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. The slope is defined a s the ratio of the vertical change between two points, the rise, to the horizontal change between the same two points, the run. The slope of a line can be defined as the expression (y1-y2) / (x1-x2), or Rise / Run. The line is horizontal. The x-axis represents time, in hours, and the y-axis represents distance, in miles, from Downtown Houston, Texas. But where do we start? Solution : By considering the above points, the x-coordinate values are same. Since y never increases or decreases, the slope is zero. Remember, we ‘read’ a line from left to right, just like we read written words in English. Slope of a Horizontal Line. View Winning Ticket Due to this formula, we see special cases for vertical and horizontal lines. Get the answers you need, now! Horizontal and Vertical Lines 1 - Cool Math has free online cool math lessons, cool math games and fun math activities. Slope, sometimes referred to as gradient in mathematics, is a number that measures the steepness and direction of a line, or a section of a line connecting two points, and is usually denoted by m.Generally, a line's steepness is measured by the absolute value of its slope, m.The larger the value is, the steeper the line. Try thisAdjust the line below by dragging an orange dot at point A or B. Steeper (uphill) lines have larger slopes. SLOPE OF A HORIZONTAL AND VERTICAL LINE. To download free software to view the PDF, visit https://get.adobe.com/reader/. Finding the Slope of a Line from its Graph. Read on! The slope of a vertical line is _____. Solution : Since the given line is in the form of y = a constant, it remembers the word (HOY). The slope of a line that slopes uphill is positive. Slope (Gradient) of a Straight Line. In the horizontal line at 2:00, there is zero change in y, which means that the slope is 0 divided by the change in x. Slope = Change in YChange in X : Have a play (drag the points): Examples: The Slope of this line = 3 3 = 1. As indicated by the point (0, 5), that y value is 5..... Algebraically, a horizontal line has a slope of 0, so using the point-slope formula Their equations had just one variable. Horizontal and Vertical Lines 2 - Cool Math has free online cool math lessons, cool math games and fun math activities. Example 2 : Write an equation of the line which passes through (-4, 1), (-4, 7).