Question

Pls help me solve this!

Answer 1

Answer:

The answer to your question is   y = 2/3 x + 2  

Step-by-step explanation:

Data

Equation = ?

slope = 2/3

P (-3, -1)

Process

1.- Identify x1 and y1

  x1 = -3

   y1 = -1

2.- Substitute the values in the equation of the point-slope form.

     y - y1 = m (x - x1)

-Substitution

     y - (-1) = 2/3(x - (-3))

-Simplification

     y + 1 = 2/3x + 3

- Solve for y

     y = 2/3 x + 3 - 1

-Simplify

     y = 2/3 x + 2  

Answer 2

Answer:

Step-by-step explanation:

The point slope form is expressed as

y - y1 = m(x - x1)

Where

m represents the slope of the line.

The slope of the line is 2/3 and it passes through (- 3, - 1). To determine the equation, we would substitute x1 = - 3, y1 = - 1 and m= 2/3 into the point slope form equation. It becomes

y - - 1 = 2/3(x - - 3)

y + 1 = 2/3(x + 3)

The slope intercept form is expressed as

y = mx + c

Where c represents the y intercept

Therefore,

y + 1 = 2x/3 + 2

y = 2x/3 + 2 - 1

y = 2x/3 + 1