What is the equation of this line in slope-intercept form? So any line can be represented in slope-intercept form, is y is equal to mx plus b, where this m right over here, that is of the slope of the line. And this b over here, this is the y-intercept of the line. Let me draw a quick line here just so that we can visualize that a little bit.
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.Often when a student hears the word slope, many different things come to mind. Some will say “rise over run”, others say “change in y over change in x”, some will give a formula and still others say slope can be determined from the equation of the line.
What can be confusing is that .
Writing slope-intercept equations Common Core Math: 8.F.A.1, 8.F.A.3, rutadeltambor.comA.2 Learn how to find the slope-intercept equation of a line from two points on that line.
Steps For Writing Equations Given Two Points. Use the slope formula to find the slope.; Use the slope (that you found in the step above) and one of the points to find the y-intercept.
(Using y = mx+b, substitute x, y, and the slope (m) and solve the equation for b.). After completing this tutorial, you should be able to: Find the slope given a graph, two points or an equation. Write a linear equation in slope/intercept form.
Write an equation of the line with the given slope, m, and y-intercept (0,b). m=-3/2, b=8 You learn that the slope-intercept form of the equation of a line is: where m is the slope and (0,b) is the set of coordinates fior the point at which the line crosses the y-axis (called the y-intercept).
Write an equation of the line that passes through the given point and is PARALLEL to the given line: (-3,-7); y=-3x+4 (4,6); 4x+2y=10 please explain how to do this! I'm really bad at the Mathematics5/5(5).