Slope intercept form calculator is used to transform the equation of a line into slope intercept form. In this form we have slope and y –intercept. The slope intercept form of a straight line is y = mx + b. Here, m is the slope of the line and b is the y intercept of the line.
Example 1: Find the equation of a line with slope = 4 and y intercept = 2.
Solution 1: For the given equation of a line , we will follow these steps:-
Step 1:- Label the values which are given in the problem
Slope = m = 4 and y intercept = b = 2
Step 2: Now plug these values in the formula y = mx + b
y = (4) x + 2
Step 3: The slope intercept form of the line with given values
y = 4x + 2
Example 2: Write the equation of a line 2x + y – 4 = 0 into slope intercept form.
Solution 2: For the given equation of a line , we will follow these steps:-
Step 1:- The given equation is
2x + y – 4 =0
Step 2:- We know the slope – intercept for of a line that is
y = mx + c
Step 3:- First shift the constant to right side of the equality
2x + y = 4
Step 4: Shift the x term to right side of the equality
y = (-2) x + 4