Plug in these values to the slope formula to find the slope. There is more than one way to form an equation of a straight line. M, and want to find other points on the line.

## Writing the Equation of a Line, Given Slope and Point

Two points (x 1, y 1) and (x 2, y 2) use:

### Have a play with it first (move the point, try different slopes):

The point slope form formula of equation of a straight line is given by: The 'x' and the 'y' stay as variables. Enter the point and slope that you want to find the equation for into the editor. The calculator also has the ability to provide step by step solutions.

### Use the m given in the problem, and the b that was just solved for, to create the equation y = mx + b.

From the figure, we can say that the three points p 1, p 2 and p are collinear. X 1, y 1 are the coordinates of a point, and; Slope can also be found if you have an equation of line. Click the blue arrow to submit.

### Y = mx + b.

Let’s find the slope using line equation. The point slope form equation is: This formula is used only when we know the slope of a line and a point on the line. Identify the values of , , , and.

### As the names imply the form that you use is dependant on the information you are given to start with.

To determine the equation of a line, you may use two variations of the general form of a line. That means, slope of p 1 p = slope of p 1 p 2. Let's use the slope formula to find the slope of the line that goes through the points and. Let p 1 (x 1, y 1) and p 2 (x 2, y 2) be the two given points on the line l.

### Find the slope of line in the following line equation.

We’ll start with the form: Y − y 1 = m (x − x 1) the equation is useful when we know: The equation of the line: (x1,y1) and the slope of the line:

### The equation point slope calculator will find an equation in either slope intercept form or point slope form when given a point and a slope.

For example, let us graph. Find the equation of the line that has a slope of and. The equation of the line is One point on the line:

### Then, plug the slope into the slope formula, y = mx + b, where m is the slope.

Arrange the equation in the form of y = mx + c. Let p (x, y) be a general point on the line l. The slope is given as m = 3 , and the point \left ( {2,5} \right) has coordinates of {x_1} = 2 and {y_1} = 5. The equation of a straight line is given by: