How do you deduce an equation from a graph?
To find the equation of a graphed line, find the y-intercept and the slope in order to write the equation in y-intercept (y=mx+b) form. Slope is the change in y over the change in x. Find two points on the line and draw a slope triangle connecting the two points.
How do you deduce an equation of a line?
The general equation of a straight line is y = mx + c, where m is the gradient, and y = c is the value where the line cuts the y-axis. This number c is called the intercept on the y-axis. The equation of a straight line with gradient m and intercept c on the y-axis is y = mx + c.
How do you write an equation from a word problem?
Here are some steps to follow:
- Understand the problem. Understand all the words used in stating the problem. Understand what you are asked to find.
- Translate the problem to an equation. Assign a variable (or variables) to represent the unknown.
- Carry out the plan and solve the problem.
How do you work out the y-intercept?
Using the “slope-intercept” form of the line’s equation (y = mx + b), you solve for b (which is the y-intercept you’re looking for). Substitute the known slope for m, and substitute the known point’s coordinates for x and y, respectively, in the slope-intercept equation. That will let you find b.
What can you do with an equation?
In fact, solving an equation is just like solving a puzzle. And like puzzles, there are things we can (and cannot) do. Here are some things we can do: Add or Subtract the same value from both sides
How do you solve an equation like a puzzle?
Example: Solve 3x−6 = 9. Start with:3x−6 = 9. Add 6 to both sides:3x = 9+6. Divide by 3:x = (9+6)/3. Now we have x = something, and a short calculation reveals that x = 5. Like a Puzzle. In fact, solving an equation is just like solving a puzzle. And like puzzles, there are things we can (and cannot) do.
Is there a perfect way to solve all equations?
There is no “one perfect way” to solve all equations. But we often get success when our goal is to end up with: In other words, we want to move everything except “x” (or whatever name the variable has) over to the right hand side. In fact, solving an equation is just like solving a puzzle.
What is the difference between an equation and a solution?
An equation says that two things are equal. It will have an equals sign “=” like this: That equations says: what is on the left (x − 2) is equal to what is on the right (4) So an equation is like a statement ” this equals that ” What is a Solution? A Solution is a value we can put in place of a variable (such as x) that makes the equation true.