Let's first quickly review slope intercept form. Equations that are written in slope intercept form are the easiest to graph and easiest to write given the proper information.
Let's quickly review the steps for writing an equation given two points: Find the slope using the slope formula.
Write the equation using the slope and y-intercept. Ok, now let's apply this skill to solve real world problems. Now you will have to read through the problem and determine which information gives you two points.
Remember a point is two numbers that are related in some way. Also remember, that when identifying a point from a word problem, "time" is always the x-coordinate.
In the first year, there were 35 participants. In the third year there were 57 participants. Write an equation that can be used to predict the amount of participants, y, for any given year, x. Based on your equation, how many participants are predicted for the fifth year? Identify your two points.
This can be written as 1,35 In the third year, there were 57 participants. This can be written as 3, Therefore, our two points are 1,35 and 3,57 Let's enter this information into our chart.
Now that we have an equation, we can use this equation to determine how many participants are predicted for the 5th year. All we need to do is substitute! We will substitute 5 for x x is the year and solve for y.Image Source: Google Images.
Babies usually follow a straight line of increasing body length as they start growing. This baby was born 20 inches long (y-intercept), and . This is called the slope-intercept form because "m" is the slope and "b" gives the y-intercept. (For a review of how this equation is used for graphing, look at slope and graphing.).
I . where m is the slope of the line and b is the y-intercept of the line, or the y-coordinate of the point at which the line crosses the y-axis.. To write an equation in slope-intercept form, given a graph of that equation, pick two points on the line and use them to find the slope.
Horizontal Lines. The equation of a horizontal line is y = b where b is the y-intercept.. Since the slope of a horizontal line is 0, the general formula for the standard form equation, y = mx + b becomes y = 0x +b y = timberdesignmag.com,since the line is horizontal, every point on that line has the exact same y value.
Improve your math knowledge with free questions in "Find the slope of a graph" and thousands of other math skills. Learn about the slope-intercept form of two-variable linear equations, and how to interpret it to find the slope and y-intercept of their line.