Hi there,
Take y from first equation and use it / substitute it into the second equation:
-2x + 8 = x - 1, so 3x = 9, therefore x = 3.
Then y = x - 1 = 3 - 1 => y = 2.
Solution is (3,2).
A quick check: 2 = -2*3 + 8, true, and 3 = 2 - 1, also true.
Green eyes.
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Answer:
y = -3x + 7
Step-by-step explanation:
Choosing two points from the given table:
Let (x1, y1) = (-3, 16)
(x2, y2) = (-1, 10)
Plug these given values into the slope formula:
m = (y2 - y1)/(x2 - x1)
= (10 - 16) / (-1 - (-3))
= -6 / (-1 + 3)
= -6/2
= -3
Therefore, the slope is -3.
Next, choose one of the points and plug into the <u>point-slope form</u>:
Let's use (-1, 10) as (x1, y1):
y - y1 = m(x - x1)
y - 10 = -3(x - (-1))
y - 10 = -3(x + 1)
y - 10 = -3x - 3
Add 10 on both sides to isolate y:
y - 10 + 10 = -3x - 3 + 10
y = -3x + 7
