Complete the point-slope equation of the line through (1,-1) and (5,2)

The first thing we need to do is calculate the slope.

To calculate slope, we plug our numbers into the following general formula:

So

So, our slope is 3/4.  

Now we pick whatever point we want to work with.  For this situation, i'm going to pick the second, since it is positive numbers.

Now, we plug our numbers into the point-slope form equation.  The general formula is

M is our slope,

Y₁ is our Y-coordinate and X₁ is our X-coordinate.

So, when we plug our numbers in we get

need points to ask question

step-by-step explanation:

start with a line segment pq that we will copy. mark a point r that will be one endpoint of the new line segment. set the compasses' point on the point p of the line segment to be copied. adjust the compasses' width to the point q. the compasses' width is now equal to the length of the line segment pq.

step-by-step explanation: