<h3>
Answer: Choice A. (7,4)</h3>
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Explanation:
Use the slope and given point to find the y intercept
y = mx+b
8 = (-2/3)*(1) + b
8 = -2/3 + b
8 + 2/3 = b
24/3 + 2/3 = b
26/3 = b
b = 26/3
The equation of the line is y = (-2/3)x + 26/3
To confirm this, plug in x = 1 and we should get y = 8, due to the point (1,8)
y = (-2/3)x + 26/3
y = (-2/3)*1 + 26/3
y = -2/3 + 26/3
y = (-2+26)/3
y = 24/3
y = 8
So that verifies we have the correct equation.
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Next, go through each answer choice to see if the x coordinate of the point leads to the y coordinate.
If we try x = 7, then,
y = (-2/3)x + 26/3
y = (-2/3)(7) + 26/3
y = -14/3 + 26/3
y = (-14+26)/3
y = 12/3
y = 4
This shows that (7,4) is on the line. Choice A is the answer
That rules out choice B.
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If we tried x = -5, then,
y = (-2/3)x + 26/3
y = (-2/3)(-5) + 26/3
y = 10/3 + 26/3
y = 36/3
y = 12
meaning that (-5,12) is on the line. That rules out choices C and D.
Refer to the graph below. It visually confirms that of the four answer choices, only point A is on the line. I used GeoGebra to make the graph.
X= -2x -15y -45 maybe i’m kinda stupid
Ok so formula is <span>A=p(1+r)^t
</span>A=600 (1+.016)squared
A=$619.35
Hope that helped :)
A.
Let x = age of Samantha.
Then x - 2 = age of Emily,
and x + 2 = age of Lauren.
b.
x - 2 + x + x + 2 = 42
c.
x - 2 + x + x + 2 = 42
3x = 42
x = 14
x - 2 = 14 - 2 = 12
x + 2 = 14 + 2 = 16
The ages of the sisters are 12, 14, 16.
Answer:
x = 11
Step-by-step explanation:
4 - 1 / x - 7 (simplify)
3 / x - 7 = 3/4 (multiply by x - 7)
3 = 3/4 (x - 7)
3 = 3/4x - 5.25 (add 5.25 to both sides)
8.25 = 3/4x (divide both sides by 8.25)
x = 11
sub into the formula to check:
4-1 / 11 - 7
3 / 4