Solve the following system of equations graphically on the set of axes below. y=x+8 y=−2x−1
1 answer:
This makes sense because every point on the gold line is a solution to the equation
y
=
1
2
x
+
3
y=
2
1
x+3start color #e07d10, y, equals, start fraction, 1, divided by, 2, end fraction, x, plus, 3, end color #e07d10, and every point on the green line is a solution to
y
=
x
+
1
y=x+1start color #0d923f, y, equals, x, plus, 1, end color. So, the only point that's a solution to both equations is the point of intersection
y
=
1
2
x
+
3
y=
2
1
x+3start color #e07d10, y, equals, start fraction, 1, divided by, 2, end fraction, x, plus, 3, end color #e07d10, and every point on the green line is a solution to
y
=
x
+
1
y=x+1start color #0d923f, y, equals, x, plus, 1, end color. So, the only point that's a solution to both equations is the point of intersection
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Answer:
c
Step-by-step explanation:
Calculate the slope m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (- 8, - 3) and (x₂, y₂ ) = (2, 3)
m = =
=
→ c