Given (2,7) and (3,1). write an equation of the line in standard form

y=

Step-by-step explanation:

The slope of a line passing through the two points P=(x1,y1) and Q=(x2,y2) is given by m=y2−y1x2−x1.

We have that x1=−2, y1=7, x2=3, y2=1.

Plug the given values into the formula for slope: m=(1)−(7)(3)−(−2)=−6/5=−6/5.

Now, the y-intercept is b=y1−m⋅x1 (or b=y2−m⋅x2, the result is the same).

b=7−(−6/5)⋅(−2)=23/5.

Finally, the equation of the line can be written in the form y=mx+b.

y=−6/5x+23/5.

Step-by-step explanation: