Question

Find y if the line through (8, y) and (9, 1) has a slope of 3.

Answer 1

The value of y is -2

Therefore the given point (8,y) becomes (8,-2)

Explanation:

Explanation:

Given that the line through the points (8, y) and (9, 1) and slope m is 3

To find y to the line through the points (8, y) and (9, 1) :

The formula for slope is
`m=(y_2-y_1)/(x_2-x_1)`

Let
`(x_1,y_1)` ,
`(x_2,y_2)` be the given points (8, y) and (9, 1) respectively

Now substitute the values of the points and m=3 in the formula

`3=(1-y)/(9-8)`

`3=(1-y)/(1)`

`3=1-y`

`3-(1-y)=1-y-(1-y)`

`3-1+y=1-y-1+y`

`2+y=0` ( adding the like terms )

`2+y-2=0-2`

Therefore y=-2

Therefore the value of y is -2

Therefore the given point (8,y) becomes (8,-2)