1.) We can write a equation of a line when we know only the slope and the of any point of the line. 2.) Given only two points, it is easy to find the equation of the line when you find first the .

1) coordinates

2) slope

Step-by-step explanation:

The equation of a line is given by the two equations:

, where m is the slope and b is the y-intercept, or

, where x₁ and y₁ is the location of any point on the line, and m is the slope.

→ As such, we know that given the slope and the coordinates of any point on a line, we can write the line's equation.

We can also find the slope of a straight line between two points with the following equation:

, where m is the slope, x1 and y1 is the location of the first point, and x2 and y2 is the location of the second point. Remember: rise (y) over run (x).

→ So, given only two points, it is easy to find the equation of the line when you first find the slope.