Question

Write the equation of the line that passes through the points (8,1) and (-1,3). Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal line.​

Answer 1

y-3 = -2/9(x+1)

Explanation:

Here, we want to find the standard equation

Generally, we have the equation as;

y = mx + b

where m is the slope of the line and b is the y intercept

To find the slope, we use the slope equation

m =y2-y1/x2-x1

m = (3-1)/(-1-8) = 2/-9 = -2/9

So to write in point slope form, we can use any of the two points

We have;

y-y1 = m(x-x1)

using (-1,3)

y-3 = -2/9(x+1)