Question

(-3,y), (-9,-2); m=1

Answer 1

The value of y is 4

The equation of line is y = x + 7 .

Explanation:

Given as :

The points are

(
`x_1`,
`y_1`) = (- 3, y)

(
`x_2`,
`y_2`) = (- 9, -2)

The slope = m = 1

Now, The slope is calculated in points form

So, Slope =
`(y_2-y_1)/(x_2-x_1)`

I.e m =
`(y_2-y_1)/(x_2-x_1)`

or, 1 =
`(- 2 - y)/(- 9- (-3))`

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

or, 1 × (-6) = - 2 - y

or, - 6 = - 2- y

or, y = - 2 + 6

∴ y = 4

So, The new points as

(
`x_1`,
`y_1`) = (- 3, 4 )

(
`x_2`,
`y_2`) = (- 9, -2)

So, the equation of line in slope - point form can be written as

y -
`y_1` = m ( x -
`x_1` )

i.e y - 4 = ( 1 ) × ( x - (-3) )

or, y - 4 = x + 3

∴ y = x + 3 + 4

Or, y = x + 7

So, The equation of line is y = x + 7

Hence The value of y is 4

And The equation of line is y = x + 7 . Answer