What is the equation in point-slope form of the line through the points (10,3) and (12,11)

Using the first point (10,3) the point-slope form gives:

Using the second point (12,11) the point-slope form gives:

Step-by-step explanation:

Notice that you are given two points and on the plane through which the line has to go through.

We can start then by finding the value of the slope for a segment that joins such points via the equation for the slope: . Which in our case, if we call   = (10,3) and  = (12,11) give us:

Now that we have the slope of the line, we can write the "point-slope" form of it by using the information of on the general form of a line of slope "m" going through the point in point-slope form:

we know our slope must be "4", and we can use any of the given points (for example (10,3) as the specific point , resulting in:

Of course, we could have used the other point as well, which would give us the following:

and although they look like different equations, they basically represent the very same equation, fact that we can verify by solving for "y" in both expressions:

s

step-by-step explanation: