Slope describes the steepness of a line on the coordinate plane, whether it rises from bottom left to top right (positive slope), top left to bottom right (negative slope), or horizontally across (zero slope). Examples are given of objects that demonstrate each type of slope, such as roads that have positive slope as they go up hills, slides that have negative slope to go down, and shelves that have zero slope horizontally. Steeper slopes are closer to the y-axis, while flatter slopes are closer to the x-axis. Real-world examples like steep hills and flatter golf greens illustrate different degrees of positive and negative slope.
2. Definition:Slope decribes the line on the coordinate planes steepness or its incline. Slope can be described as rise over run. This means that you rise up (Y-axis) then run over(X-axis). You can also locate the slope of a graph by looking at slope-intercept form.Slope intercept form is y=Mx+B. The “m” is the slope in the equationLets say you had the equation y=3x + 2. The 3 would be the slope, because if you look at the equation whatever is before the “x” is the slope.
3. Positive Slope!Positive slope is when the line on the coordinate plane goes from bottom left to the top right corner. The road here has a positive slope as it goes up a hillMost trucks have this particular slant on their car!Roofs have many different slopes. It is the way they are made(:The bicycle has a positive slope on one of the connecting parts(:These flowers have a positive slope as they grow toward sunlight(:This mountain has a positive slope!(:
4. Negative Slope! Negative slope is when the line on the graph descends from top left, to bottom right!This particular building was built with a negative slope.The mountain has a descending slope on its rightThis coat hanger has a slant so clothes won’t fall off.The skateboard ramp is built so skaters can skateboard down them.Slides have a negative slope so you can slide down them!(:This is a staircase, it also has a negative slope.
5. Zero (horizontal) Slope Zero Slope is where the line in the coordinate plane goes straight across. Shelves are a great example because they are horizontal.(:This brick wall goes straight across.A street sign has no slope. It is horizontal on the top and bottom.The horizon has 0 slope because the horizon is a straight line across.The top and bottom of a fence has no slopeThe top of the truck bed has zero slope.
6. Undefined (vertical) Slope. Undefined slope is where the line goes straight up and down on the coordinate plane. These chair legs are straight up and down. This also provides support for the chair.The sides of the door have an undefined slope.The street light has a vertical slope down the middle to provide support. This wall has a vertical side to hold the wall together. Most picture frames have vertical edges like this one.This camera has vertical edges!
7. Steeper Slope This means it can be a positive or negative slope that is closer to the y-axis than to the x-axis.This picture is a car going down a steep hill. This hill is going in a positive direction.All big rollercoasters usually have big steep slopes you go down.The stairs on the left are steep! This is an example of negative slope. The trees are slanted to show you how its is steep. This roof has a steep slope on the top, where the design is.On the mountain the steep positive slope is on the left .
8. Flatter Slope. Flatter slope can be also positive or negative, but it is closer to the x-axis rather than the y-axis.The top of the stockings hanging from the mantle are tilted at a flatter slope.The edge of this vase has a flat slope.This sink faucet has a flat slopeThis golf green has a flat, downhill slope.The way the plane is tilted when flying up in the sky is a flat, negative slope.These mountains have a flatter slope than steep mountains located elsewhere.