What is the equation of the line which passes through (-0.5,-5) and (2,5)

Step-by-step explanation:

The coordinates are (-0.5,-5) and (2,5)

Finding the slope, m:

=> Slope =

=> Slope =

=> Slope =

=> Slope = 4

Now, y-intercept, b:

Taking any of the two coordinate and putting it in the slope intercept equation:

=> Point = (x,y) = (2,5)

So, x = 2, y = 5

=>

=> 5 = (4)(2) + b

=> 5 = 8 + b

=> b = 5-8

=> b = -3

Now, Putting in slope intercept equation:

=>

=>