Pls pls help, thank you <3
1 answer:
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Answer:
The slope-intercept form of the line equation is:
Step-by-step explanation:
The slope-intercept form of the line equation
y = mx+b
where
- m is the slope
- b is the y-intercept
Given the points
- (-1, -2)
- (3, 4)
Determining the slope between (-1, -2) and (3, 4)
Thus, the slope of the line is:
m = 3/2
substituting m = 3/2 and the point (3, 4) in the slope-intercept form of the line equation
y = mx+b
switch sides
subtract 9/2 from both sides
now substituting m = 3/2 and b = -1/2 in the slope-intercept form of the line equation
Therefore, the slope-intercept form of the line equation is:
We know that
<span>Since the focus and vertex are above and below each other, rather than side by side, I know that this ellipse must be taller than it is wide.
</span>Then
a²<span> will go with the </span>y<span> part of the equation
</span>Also, since the focus is 8 <span>units below the center, then </span><span>c = 8
</span>since the vertex is 17<span> units above, then </span><span>a = 17
</span>The equation b²<span> = a</span>²<span> – c</span>²<span> gives me
</span>b²=17²-8²-----> b²=225
the equation is
y²/a²+x²/b²=1------> y²/289+x²/225=1
the answer is
y²/289+x²/225=1
see the attached figure
<span>Since the focus and vertex are above and below each other, rather than side by side, I know that this ellipse must be taller than it is wide.
</span>Then
a²<span> will go with the </span>y<span> part of the equation
</span>Also, since the focus is 8 <span>units below the center, then </span><span>c = 8
</span>since the vertex is 17<span> units above, then </span><span>a = 17
</span>The equation b²<span> = a</span>²<span> – c</span>²<span> gives me
</span>b²=17²-8²-----> b²=225
the equation is
y²/a²+x²/b²=1------> y²/289+x²/225=1
the answer is
y²/289+x²/225=1
see the attached figure