Write the equation of the line that passes through the points (-1, -6) and (4,5). Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal line.​

Answer :

nermay7

Answer: y + 6 = 11/5( x + 1)  

Step-by-step explanation:

To write the equation in point-slope form we need to first find the slope of the line.

The slope is the difference between the y coordinates divided by the difference between the x coordinates.

-6 - 5= -11

-1 - 4 = -5

-11/-5 = 11/5  

The slope is  11/5 .  

The point-slope formula says that  y - b =  m(x - a)  where  m is the slope and  

b is the y coordinate of one of the point and a is  the x coordinate of the same point.

We will use the point  (-1,-6)  

The x coordinate is -1  and the y coordinate is -6.

b will be -6  and a will be -1  while m will be 11/5.

y -(-6)  = 11/5(x-(-1)      

Reduce it to lowest terms.

y + 6 = 11/5( x + 1)