Problem: Write an article based on this summary: Define slope. Visualize a line's "rise over run. Locate the slope of a line in an equation. Assess the steepness of the line. Identify a positive slope. Identify a negative slope. Understand the slope of a horizontal line. Understand the slope of a vertical line.

Answer: The slope is a measure of how steep a straight line is. A variety of branches of mathematics use slope. In geometry, you can use the slope to plot points on a line, including lines that define the shape of a polygon. Statisticians use slope to describe the correlation between two variables. Economists use slope to show and predict rates of change. People also use slope in real, concrete ways. For example, slope is used when constructing roads, stairs, ramps, and roofs. " The term "rise" refers to the vertical distance between two points, or the change in y{\displaystyle y}. The term "run" refers to the horizontal distance between two points, or the change in x{\displaystyle x}. When learning about the slope of a line, you will often see the formula slope=riserun{\displaystyle { ext{slope}}\;={
rac { ext{rise}}{ ext{run}}}} For example a slope of a line might be 21{\displaystyle {
rac {2}{1}}}. This means that to go from one point to the next, you need to go up 2 along the y-axis, and over 1 along the x-axis. You can do this using the slope-intercept form of a line's equation. The slope-intercept form says that y=mx+b{\displaystyle y=mx+b}. In this formula, m{\displaystyle m} equals the slope of the line. You can rearrange the equation of a line into this formula to find the slope. For example, in the equation y=3x+1{\displaystyle y=3x+1}, the slope would be 3{\displaystyle 3}. You can still think of this slope in terms of rise over run if you turn it into a fraction. Any whole number can be turned into a fraction by placing it over 1. So, 3=31{\displaystyle 3={
rac {3}{1}}}. This means that the line represented by this equation rises 3 units vertically for every 1 unit it runs horizontally. The larger the slope, the steeper the line. A line is steeper the more vertical it rests on a coordinate plane. For example, a slope of 2 (that is, 21{\displaystyle {
rac {2}{1}}}) is steeper than a slope of 0.5 (12{\displaystyle {
rac {1}{2}}}). A positive slope is one that moves up and to the right. In other words, in a positive slope, as x{\displaystyle x} increases, y{\displaystyle y} also increases. A positive slope is denoted by a positive number. A negative slope is one that moves down and to the right. In other words, in a negative slope, as x{\displaystyle x} increases, y{\displaystyle y} decreases. A negative slope is denoted by a negative number, or a fraction with a negative numerator. To help remember the difference between a positive and negative slope, you can think of yourself as standing on the left endpoint of the line. If you need to walk up the line, it's positive. If you need to walk down the line, it's negative. Knowing the difference between negative and positive slopes can help you check that your calculations are reasonable. A horizontal line is a line that runs straight across a coordinate plane. The slope of a horizontal line is 0. This makes sense if you think of lines in terms of slope=riserun{\displaystyle { ext{slope}}\;={
rac { ext{rise}}{ ext{run}}}}. For a horizontal line, the rise is 0, since the y{\displaystyle y} value never increases or decreases. So, the slope of a horizontal line would be 0x{\displaystyle {
rac {0}{x}}}. The slope of a vertical line is undefined. In terms of riserun{\displaystyle {
rac { ext{rise}}{ ext{run}}}}, the slope of a negative line would be y0{\displaystyle {
rac {y}{0}}}. The run is 0, since the x{\displaystyle x} value never increases or decreases. So, the slope of a vertical line will bey0{\displaystyle {
rac {y}{0}}}, and since you can't divide by 0, any number over 0 will always be undefined.

Problem: Write an article based on this summary: Start with dry hair. Separate your hair from your bangs, if needed. Comb and part your bangs down the center. Pinch the left side of your bangs between your fingers. Cut your hair using short, upward snips. Repeat the process for the other side of your bangs. Shake your bangs out, then touch them up, if needed.

Answer:
This method works best for pixie cuts, but it is also great for other cuts, including bobs. It takes a little bit more time to do, but it will give you a more even cut. Alternatively, you can cut your bangs while they're wet. Just remember to clean up any mistakes or inconsistencies once your hair is completely dry. Create two angled side parts using the handle of a rat-tail comb. Start each one above the arch of your left and right eyebrow, and have them come to a point about 2 inches (5.1cm) from your hairline. Pull the rest of your hair into a ponytail, or secure it with clips. If you already have bangs, skip. You can use them as a cutting guide. Comb your bangs or sectioned-off hair straight first. If you notice any frizz or flyaways, tame them with some smoothing cream or oil. Finally, part your bangs or hair down the center. You'll be starting with the left side of your bangs. If you need to, secure the right side with a hair clip. Make a V shape with your index and middle fingers. Close them against the entire left side of your bangs, then slide them don until they reach the top of your eyebrow. Pull the section away from your forehead by about 1 inch (2.5cm). Your can keep your fingers straight and parallel to the floor, or you can angle them downward to create face-framing bangs. Get out a pair of hairdressing scissors. Starting with the inside edge of the section (the one closest to the middle of your forehead), begin to cut your hair below your fingers. Angle the scissors up by about 45 degrees, and cut in short snips using the very tip of your scissors. If you are having trouble cutting at an angle, switch to a pair of thinning or chunking shears, and cut straight across, without angling. Start on the side closest to the middle of your forehead, and work your way out to the outside edge. Pinch your hair between your fingers where you want to cut, and cut everything below them using little snips. If you angled your fingers in the previous step, be sure to angle them in the opposite direction. Gently shake and loosen your bangs with your fingers. Take a look at your bangs. If they are too long, trim them shorter using the same process.