Question

A line passes through the points (–5, 2) and (10, –1). Which is the equation of the line?
a. y= -1/5x+1
b. y= 1/5x+3
c. y= -5x-23
d. y= 5x+27

Answer 1

Answer:

a. y= -1/5x+1

Step-by-step explanation:

If we have 2 points , we can find the slope using the formula

m = (y2-y1)/(x2-x1)

  = (-1-2)/(10--5)

   =(-1-2)/(10+5)

  = -3/15

  = -1/5

The slope if -1/5

We can use the point slope form of a line to write an equation

y-y1= m(x-x1)

y-2 = -1/5(x--5)

y-2 =-1/5(x+5)

Distribute the -1/5

y-2=-1/5x -1

Add 2 to each side

y-2+2 = -1/5x -1+2

y = -1/5x+1

Answer 2

Step-by-step explanation:

Use this formula: Y2 - Y1

                              X2 -X1

Then, use point slope form: y - Y1 = m (x - X1)

• m is the slope
• Y1 & X1 is a point on the line
• The form allows you to identify the slope & the point on the line

Finally, it'll reveal your answer!!! :)