Question

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

Answer 1

Answer:

The value of y is 4

The equation of line is y = x + 7   .

Step-by-step 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 = $\dfrac{y_2-y_1}{x_2-x_1}$

I.e m = $\dfrac{y_2-y_1}{x_2-x_1}$

or, 1 = $\dfrac{- 2 - y}{- 9- (-3)}$

or, 1 = $\dfrac{- 2 - y}{- 6}$

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