# How to write an equation from a graph

Plot the y-intercept on your graph. Could you have written an equation without having solved the problem first? We say the reflection "maps on to" the original.

But sometimes, the reflection is the same as the original graph. The slope is found by counting how much the line moves up or down through a distance moving right to left. Solves it incorrectly, such as combining unlike terms of 25 and 30m to get 55m.

So this was a lot easier. So the line is going to look like that. I don't see any b term. Alternately, you can insert a variety of pre-built equations by clicking the down-arrow under the Equation button in either application. If we go over to the right by one, two, three, four. Here the equation is y is equal to 3x plus 1. To get started, download the Microsoft Mathematics Add-in link belowand install as normal.

And b is the y-intercept. Let's take a look at one more example. Do the problem yourself first! If a is positive, the graph opens upward, and if a is negative, then it opens downward. The graph of a quadratic function is a curve called a parabola. The y-intercept is 5. I don't care what m is. What is our change in y? It lets you create beautiful graphs and solve equations without purchasing an expensive math program.

See the 5 Comments below. Now given that, what I want to do in this exercise is look at these graphs and then use the already drawn graphs to figure out the equation. Then guide the student to replace the varying quantity in parentheses with a variable to write the equation.

Examples of Student Work at this Level The student attempts a computational strategy to solve the problem but misinterprets the conditions stated in the problem.Graph the equation 2x + 8y = This shouldn't be too hard, since you've already mastered the skills for solving equations and the skills for graphing in slope intercept form.

You now know how to graph equations that are written in slope intercept form and standard form. Notice how the graph moved to the right by 2 units. These are the rules we will follow: We will always write our equations in the form "x-something" and resulting horizontal translation is in the direction of the sign of the something and a number of units equal to its absolute value. Aug 28,  · This is called the y-intercept form, and it's probably the easiest form to use to graph linear equations. The values in the equation do not need to be whole numbers. Often you'll see an equation that looks like this: y = 1/4x + 5, where 1/4 is m and 5 is b%().

Write the left side as a square and simplify the right side if necessary. Graph of the difference between Vieta's approximation for the smaller of the two roots of the quadratic equation x 2 + bx + c = 0 compared with the value calculated using the quadratic formula.

Look at the equation, recognize the graph as a vertical shift, and make a rough sketch. c EXAMPLE 1 Vertical shifts Identify the function as a vertical shift of a. Page 1 of 2 50 Chapter 1 Equations and Inequalities Solving Absolute Value Equations and Inequalities SOLVING EQUATIONS AND INEQUALITIES The of a number x, written|x|, is the distance the number is from 0 on a number line.

Notice that the absolute value of a number is always nonnegative.

How to write an equation from a graph
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