## Point slope form calculator

The formula of point-slope form calculator is used to find the equation of a Straight line.

Point Slope Form Calculator
NOTE :-If your slope is fraction, please convert in to decimal, then enter the slope in the box provided.
Example : 1/2 to be entered as 0.5

There are some other different forms of the equation of a straight line.

• Point Slope Form
• Slope Intercept Form
• Intercept form
• Two points form.

### What is Point Slope Form?

This formula is used only when we know the slope of the straight line and a point on the straight line.

The equation of a straight line whose slope is m and which passes through a point (x1, y1) is found using the point slope form.

The equation of the point-slope formula is:

### Point-Slope Form equation of the line

The equation for the slope of a straight line is:

where,

• (x, y) is a random point on the straight line used as variables while applying the formula.
• (x1,y1) is a fixed point on the straight line.
• m is the slope of the straight line.

The equation is useful only when we have:

• one point on the line: (x1,y1)
• and the Slope of the line: m,

Hence the point-slope formula is proved.

### Slope-Intercept Form

Slope-intercept form calculator is the commonly used form for the equation of a line and is derived as,

where,

• b is the value called the y-intercept.
• m is the slope.
• point (x1, y1) is actually at (0, b).

It is same as point-slope form except that this equation involves the slope of a line and its y-intercept point, rather than the slope of a line and a point on the line.

It is the advance case of point-slope form shows that the point on the line is also the y-intercept.

Because of the slope and y-intercept, it is easy to write the equation of a line in slope-intercept form, and also to graph it.

Hence the slope-Intercept form is proved.

### Intercept Form

Intercept form equation of a line is one of the method to find the equation of a line.

Here, we will find the equation of a straight line by using x- intercept and y - intercept.

The Intercept Form is expressed as,

Where,

• x- intercept  =  a
• y- intercept  =  b

### Solved Examples

Example 1 :

Question : - (x1, y1) = (3, 6) And m = 7

Example 2 :

Question : - (x1, y1) = (2, 4) And m = 6

What is the point slope form equation ?

The equation is y-y₁=m(x-x₁) for linear equations.

How to calculate point slope equation online ?

You can calculate the point-slope equation online by point slope calculator

What is the Slope-Intercept form equation ?

The linear equation of slope-intercept form is y = mx + b.

How to calculate slope intercept online ?

You can calculate the slope-intercept equation online by slope intercept calculator