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The slope intercept form calculator finds the equation of the straight line based on the given two points, one point, or the intercept & slope data.
With it, you can also find the slope and y-intercept of any linear equation, enhancing precision and bringing clarity in your mathematical calculations.
The slope intercept form of the linear equation is y = mx + c that is constructed with y-intercept and slope of the line “m”.
This form of the linear equations is known as the slope intercept form. The slope signifies the degree of incline or steepness of a line.
The formula that is used to find the slope intercept form equation is outlined below:
Where:
The “m” is the change in y and along with the x coordinates at any point of intersection of “x” and “y”
You can also find the x-intercept of a line with the help of the above formula. The x-intercept is the value of the x at which the line crosses the x-axis.
Follow the below mentioned example to find the equation of slope intercept:
Find the slope intercept form of the line with a slope is “2” and the y-intercept “5”.
Solution:
Slope of the line = m = 2
y-intercept = c = 5
The slope intercept form of linear equations is:
m = 2 and c = 5
By putting the given values in slope intercept formula you will get the slope intercept form equation in which y = 2x + 5.
Graph of y = 2x + 5
Also, consider this simple slope calculator that finds the slope of a line passing through the two given points.
Keep in mind that all equations are not the same, some formulas describe curves that may never intercept the y-axis, the x-axis, or both of them.
In the following table, we have provided some examples so that you can easily understand how you can write the linear equations in slope intercept form.
Questions | Results |
Points(-2,-4) has a slope of 4 | Answer
slope intercept form y = 4x+4 Step-by-step solution: y + 4 = 4 (x+2) |
Slope = m= ?, points are (5,-5) | Answer
m = 1 Step-by-step solution: solve for slope “m” m = 0 – 5 /-5 – 0 |
Slope = m = 5
y-intercepts form = 8 Find the equation |
Answer
y = 5x + 8 Step-by-step solution: Now substitute the values of “m” and “c” to find the slope intercept form y = mx + b equation of slope intercept = y = 5x + 8 |
Find “c”=? of equation 2(0-1) ^2 + 5 | Answer
y =9 Step-by-step solution: = 2(0-1) ^2 + 5 |
Let’s follow these steps to change the linear equations into slope intercept form instantly!
Inputs:
You have three options to do calculations including:
Well, come to the point:
Output:
The calculator helps to find:
No, because they are two different ways of defining a straight line.
To find the equation of a line having two points, follow the below-mentioned steps:
From the source of khanacademy: Intro to slope-intercept form (Explore Now)
From the source of ixl (learning): Slope-intercept form: write an equation from a graph
From the source of ck12: Slope-Intercept Form of Linear Equations (Explore equations in y = mx+b form)