Respuesta :

texaschic101
y = mx + b
slope(m) = -3
(6,-2)...x = 6 and y = -2
sub and find b, the y int
-2 = -3(6) + b
-2 = -18 + b
-2 + 18 = b
16 = b
so ur equation for this line is : y = -3x + 16

(a,7)......so y = 7......" a "  is gonna be x

y = -3x + 16
7 = -3x + 16
7 - 16 = -3x
- 9 = -3x
-9/-3 = x
3 = x..........so " a " is gonna be 3 <===

The value of a in the point (a, 7) is 3

The slope intercept equation is as follows:

y = mx + b

where

m = slope

b = y-intercept

Therefore,

Let's find b using (6, -2)

m = -3

y = -3x + b

-2 = -3(6) + b

-2  = -18 + b

b = -2 + 18

b = 16

Therefore,

y = -3x + 16

let's find the value of a in (a, 7)

7 = -3x + 16

7 - 16 = -3x

-9 = -3x

x = -9 / -3

x = 3

Therefore,

a = 3

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