Share Thoughts. 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. The slope of a line that slopes downhill is negative. That's because the slope measures how steep the line is, and a flat line is not steep at all and therefore has no slope. It is always recommended to visit an institution's official website for more information. Hurricane Prince, a Category 5 storm, threatens to flood (among other things) the Bayou City in 24 hours. Linear Functions have 4 types of slopes: positive, negative slope, zero slope, and undefined slope. Remember, we ‘read’ a line from left to right, just like we read written words in English. Really clear math lessons (pre-algebra, algebra, precalculus), cool math games, online graphing calculators, geometry art, fractals, polyhedra, parents and teachers areas too. When the line passes through the Y Axis-4/7. m = Δy Δx = vertical change horizontal cnahge = yB − yA xB − xA m = Δ y Δ x = v e r t i c a l c h a n g e h o r i z o n t a l c n a h g e = y B − y A x B − x A. When you see y = -2, say this: y is always -2 and x can be anything! Find solutions for your homework or get textbooks Search Hint: RISE over RUN Hint: Vertical line. Identify the slope of a horizontal line given it’s equation; Identify the slope of a vertical line given it’s equation; Now we’ll look at some graphs on a coordinate grid to find their slopes. Let’s see what happens in Figure \(\PageIndex{8}\). Log in for more information. Added 1/31/2015 1:20:11 AM. The second coordinate in each pair is the y-coordinate which are 7, and 7. Questions asked by the same visitor . A horizontal line will have the same y value for any x. The slope of a line is its steepness, or its rise (up and down) over its run (left to right). So we say that the slope of the vertical line \(x=3\) is undefined. Straight Up and Down Slope = 3 0 = undefined That last one is a bit tricky... you can't divide by zero, Any line of the form \(y = c\), where \(c\) is some real number, will have a slope of zero. Therefore, regardless of what the run is (provided its' not also zero! Share Tweet Email Google+ WhatsApp. The Study-to-Win Winning Ticket number has been announced! Properties of Horizontal Lines Equation of Horizontal Line always takes the form of y = k where k is the y-intercept of the line. Save my name, email, and website in this browser for the next time I comment. One hour passes, two hours pass, but you’re still one mile away from downtown. You’re on Interstate 45 North, the road that snakes northward to flee anything blowing in from the Gulf of Mexico. Another method we can use to graph lines is the point-slope method. Why?. Calculate. Try thisAdjust the line below by dragging an orange dot at point A or B. The slope of a vertical line is undefined. By using ThoughtCo, you accept our, The Slope of the Regression Line and the Correlation Coefficient, How Slope and Elasticity of a Demand Curve Are Related, Isometric Paper, Math Charts, Grids, Graph Paper, Formula for the Normal Distribution or Bell Curve, B.B.A., Finance and Economics, University of Oklahoma. Slope. The slope of a line can be defined as the expression (y1-y2) / (x1-x2), or Rise / Run. The floor of your room is horizontal. Answer to What is the slope of a horizontal line? Find the slope of the line y = -3. The slope of a horizontal line is always zero! The slope of a horizontal line is 0. The line is horizontal. }\hfill & & \phantom{\rule{5em}{0ex}}& & \text{The rise is 2. In a vertical line, you have 0 rise and infinite run, so you have 0/run. 0 divided by anything is still equal to 0, and therefore, our horizontal line's slope is 0. 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. Given the graph of any line, it is possible to find the slope of the line by choosing two points on the line. Slope of {{\, - 3} \over 2} and through the point \left( { - 1,\, - 1} \right). You can put this solution on YOUR website! What is the slope of this line? The slope of a horizontal line, \(y=b\), is 0. When the y-coordinates are the same, the rise is 0. Be anything red balls, 4 black balls and 5 green balls finding. Divided by any number is 0 equations » understand slope of a horizontal is... A CC BY-NC-SA 4.0 license Figure \ ( x=a\ ), so you have rise! 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