Answer:
y = -3/2x + 3
General Formulas and Concepts:
<u>Algebra I</u>
Equality Properties
Standard Form: Ax + By = C
Slope-Intercept Form: y = mx + b
Step-by-step explanation:
<u>Step 1: Define</u>
Standard Form: 3x + 2y = 6
<u>Step 2: Find slope-intercept form</u>
- Subtract 3x on both sides: 2y = 6 - 3x
- Divide both sides by 2: y = 3 - 3/2x
- Rewrite: y = -3/2x + 3
And we have our final answer!
Answer:
is 1 i think
Step-by-step explanation:
Answer:
The equation of the line would be y = -1/3x - 4
Step-by-step explanation:
In order to find this, we first need to find the slope of the original line. We do this by solving for y.
2x + 6y = 10
6y = -2x + 10
y = -1/3x + 5/3
Now that we see the slope as -1/3, we know the new line will have the same slope thanks to the definition of parallel lines. So, we can use this slope and the point in point-slope form to find the equation.
y - y1 = m(x - x1)
y - -5 = -1/3(x - 3)
y + 5 = -1/3x + 1
y = -1/3x - 4
21 - 4x = 108
<em><u>Subtract 21 from both sides</u></em>
-4x = 87
<em><u>Divide both sides by -4</u></em>
x = -21.75
