How do I write the equation 9x-6y=-72 in slope-intercept form?
Answers
The equation, 9x-6y=-72 in slope-intercept form is .
An equation is a mathematical statement that shows that two mathematical expressions are equal.
The standard form of equation in two variable is y= mx+b,
where y is the dependent variable
x is the independent variable
a is the intercept term
b is the slope
Given the following equation:
9x-6y=-72.......................1
Convert it into standard format y=mx+b,
Divide the equation by 6,
On multiplying the equation by -1.
On solving, to represent it into standard form:
On comparing it with standard equation,
Slope, m=3/2 and Intercept, b=12
Thus, slope-intercept form is .
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Related Questions
Help!!!!!!!!!!!!!!!!!!!!!
Which statement best illustrates using the vertical line test to determine if the graph below is a function of x? The graph is not a function of x because the line x = 0 intersects the graph at two points. The graph is a function of x because the line x = 5 does not intersect the graph. The graph is not a function of x because the line y = 0 intersects the graph at two points. The graph is a function of x because the line y = 5 does not intersect the graph.
4|x+5|=20Thanks for the help
(1)/(x)+(1)/(2x+1) = (1)/(3.5)SOLVE WITH STEPS PLS I NEED IT QUICK
□44
□19
□17
□11
Answers
Answer:
11
Step-by-step explanation:
3 (4 - n) + 8
When n = 3:
3 (4 - 3) + 8
3 (1) + 8
3 + 8
11
Answer:
11
Step-by-step explanation:
Answers
Answer:4, -28, and -5
Step-by-step explanation:
Simply you input 3 for x in the equation, so 4(3)-8
12-8= 4
Next is -5 so again 4(-5)-8
-20-8=-28
Lastly 3/4 so 4(3/4)-8
3-8=-5
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Answer: C ) f ( x ) - g ( x ) = log3 5
Answers
Answer:
x = -8
Step-by-step explanation:
g(x)= 8x+2
Let g(x) = -62
-62 = 8x+2
Subtract 2 from each side
-62-2 = 8x+2-2
-64 = 8x
Divide each side by 8
-64/8 = 8x/8
-8 = x
Answers
Answers
Answer:
Vertex:(5,8)
Focus:(5,8.25)
Directrix: y=7.75
Step-by-step explanation:
For the equation of the parabola in the form:
(x - h)² = 4p(y - k), where p≠ 0
The vertex of this parabola is at (h, k).
The focus is at (h, k + p).
The directrix is the line y = k - p.
Converting the equation y=x²-10x+33 in the above form
y=x²-10x+25+8
y=(x-5)²+8
(x-5)²=(y-8)
On comparing this equation with the above equation, we see that
h=5 k=8 and 4p=1
or p=1/4
Vertex=(5,8)
Focus=(5,8+1/4)
=(5,8.25)
Directrix: y=8-1/4
y= 7.75
(x-h)^2=4P(y-k)
complete the square with the x term
take 1/2 of -10 and square it and add that to both sides
y+25=x^2-10x+25+33
factor perfect square
y+25=(x-5)^2+33
minus 33 both sides
y-8=(x-5)^2
force factor out a 4
4(1/4)(y-8)=(x-5)^2
(x-5)^2=4(1/4)(y-8)
vertex is (5,8)
distance from directix is P or 1/4 or 0.25
since opens up, directix is ycoordinate-0.25 aka y=7.75 is directix
focus=(5,8+0.25)=(5,8.25)
vertex=(5,8)
directix: y=7.75
focus: (5,8.25)