How do I write the equation \(9x - 6y = -72\) in slope-intercept form?

y=mx+b 72+9x=6y 12+9x/6=y 12 I is the y intercept and 9/6 is the slope. 9 being the rise or y value and 6 being the run or x value.

Answered by Anonymous | 2024-06-10

The equation , 9x-6y=-72 in slope-intercept form is y = 2 3 ​ x + 12 .
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,
6 9 ​ x − y = 6 − 72 ​ 2 3 ​ x − y = − 12
On multiplying the equation by -1.
− 2 3 ​ x + y = 12
On solving, to represent it into standard form:
y = 2 3 ​ x + 12
On comparing it with standard equation ,
Slope, m=3/2 and Intercept, b=12
Thus, slope-intercept form is y = 2 3 ​ x + 12 .
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Answered by mahendravt | 2024-06-18

The equation 9 x − 6 y = − 72 can be rewritten in slope-intercept form as y = − 2 3 ​ x + 12 by isolating y and simplifying. In this form, the slope m is − 2 3 ​ and the y-intercept b is 12. This means that for every increase of 1 in x , y decreases by 2 3 ​ .
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Answered by mahendravt | 2024-12-24