Stained glass slope graphing linear equation Description: Identify the slope and y-intercept of the linear equation. Then, graph
the linear equations on the same coordinate plane. Make sure to extend the lines to the edge of the graph paper! Darken each line when finished. Color however YOU want to create a stained glass effect.
1 answer:
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Answer:
The graph in the attached figure
Step-by-step explanation:
we have
1) -----> For the interval (-∞,-1)
Note The value of x=-1 is a open circle ( is not included)
This is a vertical parabola open upward
The vertex is a minimum
The vertex is the point (-2,0)
2) ----> For the interval [-1,1]
Note The value of x=-1 and x=1 are closed circle ( both values are included)
This is an absolute function open upward
The vertex is the point (0,1)
3) -----> For the interval (1,∞)
Note The value of x=1 is a open circle ( is not included)
The value of f(x) is negative for all values of x
therefore
The graph in the attached figure
Answer:
y = -x - 8
Step-by-step explanation:
First, calculate the slope:
m =
(x₁, y₁) will be (8, -16)
(x₂, y₂) will be (6, -14)
Plug in values:
m =
simplify:
m =
m = -1
plug values into y = mx + b:
-16 = (-1)(8) + b
solve for b:
b - 8 = -16
b = -8
rewrite the equation:
y = -1x - 8
y = -x - 8