Question

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

Answer 1

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)

Answer 2

The value of y for which the slope of the two points is 1/4 is; y = -2

The slope of two points is given as;

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

In this scenario;

Slope, m = 1/4 = (-1 -y)/(10-6)

By cross product;

• -4 -4y = 10-6

• -4y = 4 +4

• -4y = 8

• y = -2

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