Question

Find the value of y so that the line passing through (9, 0) and (3, y) has a slope of -1/2

Answer 1

ANSWER


`y = 3`

Step-by-step explanation

The slope is given by the formula,


`m = (y_2-y_1)/(x_2-x_1)`

We now substitute the points to obtain,



`m = (y - 0)/(3 - 9)`
We simplify to obtain,



`m = (y )/( - 6)`

This must equal

`- (1)/(2)`

This implies that,


`- (1)/(2) = - (y)/(6)`

We multiply both sides by -6 to obtain,


`- 6 * - (1)/(2) = y`


`y = 3`


The value of is therefore 3.