Answer:
y=4x+7
Step-by-step
(-2,1) and (1,-11)
1)Rule you should use is run over rise aka slope
y²-y^1=
x^2-x^1=
(-11)-1=12
1-(-2)=3
12/3=4
slope =4
2)Rule of point slope intercept
y - y1 = m(x - x1)
y+1=4(x+2)
y+1=4x+8
-1 -1
y=4x+7
Step-by-step explanation:
For every 3 squares across, the line drops by 1 square.
Therefore the slope of the lina is -1/3.
The y-intercept of the line is -8 (when x = 0)
The equation of the line is y = -1/3 x - 8.
a.
×
A
b.
×
A
c.
A
The LED which would glow brightest is LED C with the greatest current and voltage
The LED which would be the most dim is LED B with low voltage and consequently low current.
<h3>How to determine the current</h3>
The formula for finding current
I = V/R
Where v = voltage
R = resistance
A. V = 12V
R = 4. 7 + 15 = 19. 7 kΩ = 19700 Ω in series

×
A
B. V = 9V
R = 4. 7 + 1 = 4. 7 kΩ = 4700Ω in series

×
A
C. V= 12V
1/R =
=
× 
R =
= 310. 56 Ω

A
It is important to note that the brightness of a bulb depends on both current and voltage depending on whether the bulb it is in parallel or series.
The LED which would glow brightest is LED C with the greatest current and voltage
The LED which would be the most dim is LED B with low voltage and consequently low current.
Learn more about Ohms law here:
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Answer:
$1,467.20
Step-by-step explanation:
Adjusted monthly income is the gross income minus any payments made every month. 5600 - 360 = 5240. To get 28% of her adjusted income multiply 5240 X.28 =1467.20
The required x and y-intercept of the given line is -3 and -6/5 respectively.
<h3>What is the slope of the line?</h3>
The slope of the line is the tangent angle made by line with horizontal. i.e. m =tanx where x in degrees.
Here,
The given equation of the line is 2x+5y=-6.
Transform into standard form of line .i.e is y = mx + c
5y = -2x - 6
y = -2x/5 - 6/5
here , m = -2/5 and c = -6/5
Since c = y-intercept of the line = -6/5
Now, put y = 0 in the equation of the line.
2x = -6
x = -3
Thus, the required x and y-intercept of the given line is -3 and -6/5 respectively.
Learn more about slopes here:
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