Answer:
Equation of line that passes through the points is; y= -13x - 31
Step-by-step explanation:
Given coordinates;
(- 2, - 5) and (3. - 8)
Find:
Equation of the line
Computation:
Equation of line that passes through the points is;
y = mx + c
So,
in (- 2, - 5)
-5 = m(-2) + c
-5 = -2m + c ...................Eq1
in (3, - 8)
- 8 = m(3) + c
-8 = 3m + c .....................Eq2
From eq2 + eq1
m = -13
-5 = -2m + c
-5 = -2(-13) + c
-5 = 26 + c
c = -31
So,
y = mx + c
y = (-13)x + (-31)
Equation of line that passes through the points is; y= -13x - 31
Answer:
32
Step-by-step explanation:
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Answer:
1) x = 18, y = -5
2) x= 1, -3 y = 3, -1
Step-by-step explanation:
1)
x+y=13
y = 13-x
2x-y=5
2x-(13-x) = 5
2x - 13 + x = 5
x - 13 = 5
x = 18
x + y = 13
18 + y = 13
y = -5
2)
y = x+2
x^2 + y^2 = 10
x^2 + (x+2)^2 = 10
x^2 + (x+2)(x+2) = 10
x^2 + x^2 + 4x + 4 = 10
2x^2 + 4x + 4 = 10
2x^2 + 4x - 6 = 0
2(x^2 + 2x - 3) = 0
2(x-1)(x+3) = 0
x = 1, x = -3
y = x+2
y = 1 +2 = 3
y = -3+2 = -1