What is the solution to the system that is created by the equation y = 2 x + 10 and the graph shown below? On a coordinate plane
, a line goes through (negative 2, 0) and (0, 2). (–8, –6) (–4, –2) (0, 2) (2, 4)
3 answers:
Answer:
(–8, –6)
Step-by-step explanation:
The given points represent the x- and y- intercepts of the line, so we can write the equation in intercept form as ...
x/(x-intercept) +y/(y-intercept) = 1
x/(-2) +y/2 = 1 . . . use the given intercepts
x - y = -2 . . . . . multiply by -2
Then the system is ...
- y = 2x +10
- x - y = -2
Using the first to substitute into the second, we get ...
x - (2x +10) = -2
-8 = x . . . . . . . . . . . add x+2, simplify
y = 2(-8) +10 = -6
The solution is (x, y) = (-8, -6).
You might be interested in
Now.. notice the picture below
it has a front-and-back of 11x4
it has a left-and-right of 6x4
and a top-and-bottom of 6x11
now, if the Surface Area is less than 290in², then is cheaper to manufacture, because it uses less material to make the box
it has a front-and-back of 11x4
it has a left-and-right of 6x4
and a top-and-bottom of 6x11
now, if the Surface Area is less than 290in², then is cheaper to manufacture, because it uses less material to make the box