Answer:
slope: -(9/8)
y-intercept: 7
equation: y = -(9/8)x + 7
Step-by-step explanation:
Solve for the slope.
<em>m</em> (slope) = (y₂ - y₁)/(x₂ - x₁)
Let:
(x₁ , y₁) = (8 , -2)
(x₂ , y₂) = (0 , 7)
Plug in the corresponding numbers to the corresponding variables:
<em>m </em>= (7 - (-2))/(0 - 8)
<em>m</em> = (7 + 2)/(0 - 8)
<em>m</em> = 9/-8
Your slope is -(9/8)
Solve for the y-intercept. Plug in your slope into the slope intercept form:
y = mx + b
Let:
(x , y) = (0 , 7) & m = -(9/8)
Plug in the corresponding numbers to the corresponding variables:
7 = -(9/8)(0) + b
Simplify:
7 = (-9/8 * 0) + b
7 = (0) + b
b = 7
Your y-intercept is 7.
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Answer:
x = -9, -2, and 3.
just set everything possible to 0.
since 0 = 0 it must be true.
Answer:
125
Step-by-step explanation:
25 × 5 = 125
x/5 = 25 × 5 = 125
x = 125
draw a perpendicular line from the directrix passing through the focus, this will be the line of symmetry.
The vertex(h, k) will be located on the line half way between the focus and directrix.
The distance from the focus to the vertex is called the focal length, call it a. The then equation is
(x - h)^2 = 4a(y - k)
the equation can be manipulated to
y = 1/4a(x - h)^2 + k
hope it helps
