From the equation the slope is -1/3 and the y-intercept is -3/2. This shows that the intercept must pass through the y-axis at -3/2.
<h3>Equation of a line</h3>
A line is defined as the shortest distance between two points. The formula for finding the equation of a line in slope-intercept form is given as;
y = mx + b
The point sloe form of the equation is given as y-y1 = m(x-x1)
where
- m is the slope
- b is the intercept
- (x1, y1) is any point on the line
Given the equation of graph to plot
y=-x/3 -3/2
From the equation the slope is -1/3 and the y-intercept is -3/2. This shows that the intercept must pass through the y-axis at -3/2.
Learn more on equation of a line here: brainly.com/question/18831322
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What is the question that your trying to give off
I am pretty sure this is how you do it! Hope this helps!
Answer:263.89cm cubed
Step-by-step explanation:
Volume of A Sphere: 4/3 pi radius cubed
4cubed= 64
64 times pi=201.061
201.061 multiply 4/3= 268.08
1cubed= 1
1 times pi=3.14
3.14 times 4/3= 4.19
268.08-4.19= 263.89cm cubed
Answer:
radius = 6
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
Given
x² - 12x + y² + 4y = - 4
Using the method of completing the square on the x and y terms
add (half the coefficient of the x/y term )² to both sides
x² + 2(- 6)x + 36 + y² + 2(2)y + 4 = - 4 + 36 + 4, that is
(x - 6)² + (y + 2)² = 36 ← in standard form
with r² = 36 ⇒ r = 
= 6
