Finding the slope of the line 3(y-1)=2x+2
1 answer:
Answer:
slope =
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Given
3(y - 1) = 2x + 2 ← distribute parenthesis on left side
3y - 3 = 2x + 2 ( add 3 to both sides )
3y = 2x + 5 ( divide all terms by 3 )
y = x +
← in slope- intercept form
with slope m =
You might be interested in
Answer:
If you need the explanation, just ask.
The only ordered pair that is a solution to the given system of equations is (-2, -6)
<h3>System of Linear Equations </h3>From the question, we are to determine if each ordered pair is a solution to the given system of equations
The given system of equations is
-9x + 2y = 6
5x - 3y = 8
- For (7, 9)
That is,
x = 7, y = 9
Putting the values into the first equation
Is -9(7) + 2(9) = 6
-63 + 18 = 6
-45 ≠ 6
Thus, (7,9) is not a solution
- For (0, 3)
That is,
x = 0, y = 3
Putting the values into the first equation
Is -9(0) + 2(3) = 6
0 + 6 = 6
6 = 6
The ordered pair satisfies the first equation
Testing for the second equation
Is 5(0) - 3(3) = 8
0 - 9 = 8
-9 ≠ 8
Thus, (0, 3) is not a solution
- For (5, -4)
That is,
x = 5, y = -4
Putting the values into the first equation
Is -9(5) + 2(-4) = 6
-45 - 8 = 6
-53 ≠ 6
Thus, (-5,4) is not a solution
- For (-2, -6)
That is,
x = -2, y = -6
Putting the values into the first equation
Is -9(-2) + 2(-6) = 6
18 - 12 = 6
6 = 6
The ordered pair satisfies the first equation
Testing for the second equation
Is 5(-2) -3(-6) = 8
-10 + 18 = 8
8 = 8
The ordered pair satisfies the second equation
∴ The ordered pair that is a solution to the system of equations is (-2, -6)
Hence, the only ordered pair that is a solution to the given system of equations is (-2, -6)
Learn more on System of equations here: brainly.com/question/8630769
#SPJ1
