A given line has the equation 10x+2y=-2.
2 answers:
Answer:
Option 1 -
Step-by-step explanation:
Given : A given line has the equation
To find : What is the equation, in slope-intercept form, of the line that is parallel to the given line and passes through the point (0, 12)?
Solution :
The slope intercept form is
where, m is the slope and c is the y-intercept.
Writing given equation in slope intercept form,
Equation
Take x to another side,
Divide both side by 2,
The slope intercept form of the equation is
Where, m=-5 is the slope and c=-1 is the y-intercept.
When two lines are parallel their slopes are equal i.e.
Let the equation be
As lines are parallel then m=-5
We have given lines passes through point (0,12).
Substitute in equation,
Substitute back in equation,
Therefore, The required equation is
So, Option 1 is correct.
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The complete question in the attached figure
we know that
the equation of a parabola is
y=a(x-h)²+k
where
(h,k) is the vertex --------> (h,k)--------> (-1,2)
so
y=a(x+1)²+2
point (2,20)
for x=2
y=20
20=a(2+1)²+2--------> 20=a*9+2--------> 9*a=18---------> a=2
the equation of a parabola is
y=a(x+1)²+2-------> y=2(x+1)²+2
therefore
the answer is the option
<span>C) f(x) = 2(x + 1)2 + 2</span>
we know that
the equation of a parabola is
y=a(x-h)²+k
where
(h,k) is the vertex --------> (h,k)--------> (-1,2)
so
y=a(x+1)²+2
point (2,20)
for x=2
y=20
20=a(2+1)²+2--------> 20=a*9+2--------> 9*a=18---------> a=2
the equation of a parabola is
y=a(x+1)²+2-------> y=2(x+1)²+2
therefore
the answer is the option
<span>C) f(x) = 2(x + 1)2 + 2</span>