Introduction to Standard Form to Slope Intercept Form Calculator:
Standard form to slope intercept form calculator is the best source for converting the given equation into slope-intercept form. Our tool converts the standard form of the equation into the intercept form of the equation.
Standard form calculator slope is a helpful tool as it provides you with a solution in the form of a slope intercept equation from the standard form equation in less than a minute even for complex problems without any error.
What is the Standard Form to Slope Intercept Form?
Standard form to slope intercept form is a conversion process that is used to find the slope of the intercept form equation from the standard form ax + by + c = 0 in coordinate geometry. This slope-intercept equation gives valuable insights into the behavior of a function.
Slope intercept form of the equation has two types the x-intercept and y-intercept in linear algebra that give information about the point at x and y where they intersect each other on a graph.
Formula of Standard Form to Slope Intercept Form:
The standard form of the equation is a linear equation that you use to transform into the slope of intercept form. The standard form of the equation,
$$ Ax + By \;=\; C $$
slope of the intercept form formula used by the standard to slope intercept form calculator,
$$ y \;=\; -\frac{A}{B}x + \frac{C}{B} $$
How to Calculate Standard Form to Slope Intercept Form?
To calculate the standard form to slope of intercept form you need to do some algebraic calculations for the change of linear equation into slope intercept form y = mx + c equation.
Here is the stepwise guide about how to change the standard form of linear equation for the slope of intercept form such as:
Step 1:
Identify the standard form of the equation ax + by + c = 0.
Step 2:
To keep the y value on one side of the equation, perform some algebraic methods.
Step 3:
After separating the y value see whether the y value is alone or not, if it is not then do some more calculations to make it a single term.
Step 4:
After keeping the y alone see if the other side of the equation is as per the slope of the intercept form equation as y = mx + c or not.
Step 5:
After converting the standard form of the equation into the slope of the intercept form of the equation, compare your equation with the slope of the intercept equation.
Solved Example of Standard Form to Slope Intercept Form:
The standard form to slope intercept form example gives you better clarity about the evaluation of the standard form equation into the slope of intercept form.
Example: Solve the equation,
$$ 2x + 3y \;=\; 6 $$
Solution:
The given linear equation in standard form ax + by + c = 0 is,
$$ 2x + 3y \;=\; 6 $$
We want to convert this standard form equation in the form of y = mx + c. For the slope of the intercept form of the equation solve the above equation.
$$ 2x + 3y \;=\; 6 $$
Subtract 2 on both sides of the equation and simplify it,
$$ 2x + 3y - 2x \;=\; 6 - 2x $$
$$ 3y \;=\; 6 - 2x $$
Divide 3 on both sides,
$$ \frac{3y}{3} \;=\; \frac{6 - 2x}{3} $$
$$ y \;=\; \frac{6}{3} - \frac{2}{3}x $$
$$ y \;=\; 2 - \frac{2}{3}x $$
Now we convert the standard form of the equation into the intercept form of equation y = mx + c. When we compare we get m = -2/3, and c = 2, y = y.
How to Use Slope Intercept to Standard Form Calculator?
The standard to slope intercept form calculator has an easy-to-use design so that you can use it easily to calculate the standard form of the equation. Before adding the input value equation, you must follow some simple steps to get the exact solution. These steps are:
- Enter the linear equation of standard form in the input box for the intercept form equation in the solution.
- Review your input value before hitting the calculate button to start the calculation process in the standard form calculator slope.
- Click on the “Calculate” button to get the desired result of your given standard form to slope intercept form problem.
- If you are trying our slope intercept form to standard form calculator for the first time then you can use the load example.
- Click on the “Recalculate” button to get a new page for solving more standard form to slope intercept form problems.
Result of Standard Form to Slope Intercept Form Calculator:
Standard form slope calculator gives you the solution to a given linear equation problem when you add the input to it that may have:
- Result Option:
When you click on the result option and then the slope intercept to standard form calculator provides you with a solution.
- Possible Step:
When you click on the possible steps option it provides you with the solution of Standard form to slope intercept form method where all calculation steps are mentioned.
Advantages of Slope Intercept Standard Form Calculator:
Standard to slope intercept form calculator gives you many advantages whenever you use it to calculate linear equation problems and give you solutions in the form of the slope of intercept problems. These advantages are:
- Slope intercept form to standard form calculator saves your time and effort from doing complex calculations of linear equations for slope intercept equations in a few seconds.
- Our calculator is a free-of-cost tool so you can use it to find the standard form equation.
- Standard form to slope intercept form calculator is an adaptive tool that allows you to solve various types of the standard form of equation questions into the slope of intercept form equation.
- You can use this slope intercept to standard form calculator for practice so that you get familiar with the method of the standard form of equation calculation.
- It is a trustworthy tool that provides you with accurate solutions as per your input value whenever you use it to calculate the standard form equation problem.
- Standard to slope intercept form calculator provides you a solution with a complete process in a step-by-step method so that you get a better understanding.
