Question

PLEASE HELPPPP!!!!!!!!!!

Answer 1

Note that:

• Slope =
  `(2)/(3)`
• Given point: (-6, 2)
• b = y-intercept

To find b, first, we need to identify the standard equation.

• 
  `y - y_(1) = m(x - x_(1) )`
• =>
  `y - 2 = (2)/(3) \{(x - (-6)\}`
• =>
  `y - 2 = (2)/(3) \{x + 6\}`
• =>
  `y - 2 = (2x)/(3) + (12)/(3)`
• =>
  `y = (2x)/(3) + 4 + 2`
• 
  `y = (2x)/(3) + 6`

Now, let's compare the formula with the equation.

• 
  `(y = mx + b) = (y = (2x)/(3) + 6)`
• =>
  `b = 6`

The value of b is 6.

Answer 2

y = 2x/3 +6

Explanation:

using the formula y=mx+b .........where m is the slope, b is the is the point, where the line intersects the y axis

y = 2/3 x + 6