The pair of points( 6 ,y) and (10, -1) lie on a line with slope 1/4. what is the value of y?

First write an equation with what you know: y = a + 1/4x.
You need to find the y intercept, so plug in the complete pair of coordinate:
-1 = a + (1/4 × 10)
To solve algibreically, subtract the product of 1/4 × 10 (which is 2.5) from both sides.
-1 - 2.5 = -3.5
The y intercept is -3.5, so the equation looks like this: y = -3.5 + 1/4x.
To find the missing y value, plug in the x value that is given.
-3.5 + (1/4 × 6) = -2.
The missing y value is -2, so that cordinants pair would be (6, -2)

Correct sir/miss have a good day x < 3