Answer:
The equation of the line is;
3y = 2x-8
Step-by-step explanation:
Firstly, we need the to get the slope of the given line
To do this, we will write the equation of the line in the standard form
the standard form
is;
y = mx + b
where m is the slope and b is the y-intercept
y -4 = 2/3(x-3)
y -4 = 2x/3 - 2
y = 2x/3 -2 + 4
y = 2x/3 + 2
with respect to the given equation, the slope of the line is 2/3
Mathematically, when two lines are parallel, the slopes of the line are equal
So now, we want to find the equation of the line that has a slope of 2/3 and passes through the point (1,-2)
so;
y = 2x/3 + b
So substitute the values of (1,-2)
1 for x and -2 for y
-2 = 2/3(1) + b
-2 = 2/3 + b
b = -2 - 2/3
b = (-6-2)/3 = -8/3
So the equation of that line is;
y = 2/3x - 8/3
Multiply through by 3
3y = 2x - 8
<u>Answer</u>
<h3>12 ) $1000</h3><h3 /><h3>13 ) Y-Intercept = 1000</h3><h3> Slope =
=
=
</h3><h3 /><h3>14 )
→
→
→
</h3><h3 /><h3>15 ) The meaning of the slope is the steepness of the line, in this graph, the meaning is 500 over 1.</h3><h3 />
<em>Hope this helps! <3</em>
<h2 />
Step-by-step explanation:
16 - 4(3x - 5)
16 - 12x + 20
12x = 16 + 20
12x = 36
x = 36/12
x = 3
Answer:
The volume of cylinder is calculated by:
V = base area x height = pi x radius^2 x height
=> 3617.28 = 3.14 x 12^2 x height
=> 3617.28 = 452.16 x height
=> height = 3617.28/452.16 = 8 (cm)
Hope this helps!
:)
