Answer:
y = -1/2x + 2
Step-by-step explanation:
A line in slope-intercept form in y = mx + b
"m" is the slope
"b" is the y-intercept
x and y represent points on the graph
To write an equation, you need "m" and "b".
We already know m = -1/2
The point (0, 2) is the y-intercept. The y-intercept occurs when x = 0.
Points are in the form (x , y), so x = 0 and y = 2.
Therefore b = 2.
Substitute m = -1/2 and b = 2 into the equation:
y = mx + b
y = -1/2x + 2
<h3>
Answer: the y intercept is (0, 4)</h3>
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Explanation:
We'll need the slope first
Pick any two points from the table and plug them into the slope formula.
I'm going to use the first two rows to get the two points.
m = (y2 - y1)/(x2 - x1)
m = (64-44)/(24-16)
m = (20)/(8)
m = 5/2
m = 2.5
The slope is m = 2.5
Use this slope value with any (x,y) pair in the table. I'll use (x,y) = (16,44)
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Plug m = 2.5, x = 16 and y = 44 into the equation below. Solve for b
y = mx+b
44 = 2.5*16 + b
44 = 40 + b
44-40 = b
4 = b
b = 4
The y intercept is b = 4
As an (x,y) point, we say the y intercept is (0, 4). The x coordinate of the y intercept is always 0 since x = 0 for any point on the y axis.
The equation y = mx+b turns into y = 2.5x + 4
This is the same as saying y = (5/2)x + 4
To check this equation works, plugging x = 16 should lead to y = 44.
Plugging in x = 24 should lead to 64
Finally, plugging in x = 32 should lead to 84.
I'll let you do this part.
Answer:
Option E
Step-by-step explanation:
Putting x = 3
2³ • 3⁴ - 6 ÷ 2
8 • 81 - 3
648 - 3
645
Therefore
Option E is correct
Answer:
Step-by-step explanation:
Well we can use the exponential identity:
The base must be the same for this to work.
So let's combine like bases:
We can simplify b^2 * b^3 using this identity to get: b^(2+3) = b^5
This gives us the equation:
But to take a deeper look as to why this identity holds, let's represent b^2 and b^3 by what it really means: , so this is really just: which can be simplified as an exponent: , hopefully this helps you understand intuitively why this identity makes sense.
So using this identity, we can simplify j^2 * j^4 to j^6
This gives us the equation:
Answer:
15
Step-by-step explanation:
If you got 35 on a test right, then you 15 wrong making you 70% which is a C-.
Brainliest?? Please? There are 50 total.