Respuesta :
Answer: y=2/3x+7/3
Step 1: Turn this equation into slope intercept form
-2x+3y=-4
*add 2x on both sides*
-2x+3y= -4
+2x +2x
___________
3y= 2x-4
*divide each number/coefficient by 3*
3y/3 = 2x/3 -4/3
y=2/3x-4/3
Knowing this will only tell us the slope. When it is parallel, the slope remains the same. So, the slope for this equation will stay 2/3
Step 2: Substitute the point into the current equation
As of now the equation is y=2/3x+b. In order to find the y-intercept, substitute the given point into this equation.
y=2/3x+b
3=2/3(1)+b
3=2/3+b
-2/3 -2/3
_________
2 1/3 =b
It is mathematically preferred to leave this in improper form. So we will turn 2 1/3 into 7/3
Step 3: Input information
Now that we know that the slope is 2/3 and the y-intercept is 7/3, we can turn this into an equation:
y=2/3x+7/3
Hope this helps comment below for more questions :)
Step 1: Turn this equation into slope intercept form
-2x+3y=-4
*add 2x on both sides*
-2x+3y= -4
+2x +2x
___________
3y= 2x-4
*divide each number/coefficient by 3*
3y/3 = 2x/3 -4/3
y=2/3x-4/3
Knowing this will only tell us the slope. When it is parallel, the slope remains the same. So, the slope for this equation will stay 2/3
Step 2: Substitute the point into the current equation
As of now the equation is y=2/3x+b. In order to find the y-intercept, substitute the given point into this equation.
y=2/3x+b
3=2/3(1)+b
3=2/3+b
-2/3 -2/3
_________
2 1/3 =b
It is mathematically preferred to leave this in improper form. So we will turn 2 1/3 into 7/3
Step 3: Input information
Now that we know that the slope is 2/3 and the y-intercept is 7/3, we can turn this into an equation:
y=2/3x+7/3
Hope this helps comment below for more questions :)
2x+3y=7 or 2x-3y= -11 represents a line parallel to the given line.
What is the equation of line?
The equation of line is an algebraic form of representing the set of points, which together form a line in a coordinate system. The numerous points which together form a line in the coordinate axis are represented as a set of variables x, y to form an algebraic equation, which is referred to as an equation of a line. Using the equation of any line, we can find whether a given point lies on the line or not. the equation of line is a linear equation with a degree of one. Let us understand more about the different forms of the equation of a line and how to find the equation of line.
According to the question,
-2x+3y= -4,
which is Ax + By = C
A=-2 B=3 C=-4
m(slope)= -A/B
m= -(-2)/3
m= 2/3
y-y1= m (x-x1)
y-3= 2/3 (x-1)
Multiply by 3 cancels out the fraction
3y-9= 2 (x-1)
Distributive property
3y-9= 2x-2
-2x+3y-9= -2
From here it could go 2 ways:
1. -2x+3y= 7
or
2. 2x-3y+9= -2
so
2x-3y= -11
Hence , 2x+3y=7 or 2x-3y= -11 represents a line parallel to the given line.
To learn more about equation of line from here
https://brainly.com/question/2564656
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