Answer: y - 7 = 4/5(x - 5)
Step - by step:
there are many ways of doing this because there are different forms in which the two points can be converted into.
Let's do point-slope form:
All you need is the first x and y points, the slope of both points, and put them into this formula:
y - y1 = m(x - x1)
Let's find the slope by using this formula:
y2 - y1/x2 - x1
which will give you:
-1 - 7/-5 - 5 =
-8/-10 =
-4/-5 =
4/5
So now with the slope, we need to plug it into the formula in place of m
y - y1 = m(x - x1)
y - y1 = 4/5(x - x1)
So the last thing we do is put x1 and y1 or (5, 7) into the formula:
y - y1 = 4/5(x - x1)
y - 7 = 4/5(x - 5)
So y - 7 = 4/5(x - 5) is your final answer for a point slope form equation
You can do this in intercept form which needs the y-intercept and is presented in this formula: y = mx + b.
Or you can convert it into a standard form which can be converted from either of the forms with a few steps. It depends on what formula you want it in that you will get the answer you desire.