Answer:
13
-1
675
3
Step-by-step explanation:
We have y = -2 - 2x ;
Then, x + ( -2 - 2x ) = 5 ;
x - 2 - 2x = 5;
- x - 2 = 5 ;
-x = 7 ;
x = - 7;
Finally, y = - 2 - 2 × ( - 7 ) ;
y = - 2 + 14 ;
y = 12;
<span>The x coordinate of the solution to the system is - 7 .</span>
8x - 2y = 48, y =4
8x - 2(4) = 48
8x - 8 = 48
8x = 48+8
8x = 56
x = 56/8 = 7
x = 7
Using slope-intercept form, y = mx + b where m = slope and b = y-intercept:
We know our slope is -6. This can be interpreted as -6/1, which rise-over-run-wise, means that when y changes by 6, x changes inversely by 1.
To find that y-intercept, though, we need to find the value of y when x = 0.
Use our point (-9, -3) to find this...
We want to add 9 to x so that it becomes 0.
According to our slope, this means subtracting 54 from y.
Our y-intercept is at (0, -57), with -57 being the value of b we put in our equation.

You could also just use point-slope form:
y - y¹ = m(x - x¹)
y - (-3) = -6(x - (-9))
y + 3 = -6(x + 9)
And convert to slope-intercept if you want:
y + 3 = -6x - 54
y = -6x - 57