Respuesta :

Answer: y=1/9x-8

Explanation: m= (y2-y1)/(x2-x1)
(-9 - -8) / (-9 - 0) = -1 / -9 = 1/9

1/9x is the slope

B = -8 since it’s x value is 0

So in y=Mx+b form the solution is
Y=1/9x-8
charliethebest2002

Answer:

  • [tex]\boxed{\sf{y=\dfrac{1}{9}x-9}}[/tex]

Step-by-step explanation:

To find:

  • Passes through the points of (0,-8) and (-9,-9).

To use:

  • The slope and slope-intercept form formula.

Given:

The slope of a line is often indicated by the letter m.

It can be calculated by selecting any two points on the line and calculating the rate of change between them.

[tex]\underline{\text{Slope:}}[/tex]

[tex]\Longrightarrow: \sf{\dfrac{y_2-y_1}{x_2-x_1}}[/tex]

  • y2=(-9)
  • y1=(-8)
  • x2=(-9)
  • x1=0

Solve.

[tex]\Longrightarrow: \sf{\dfrac{-9-\left(-8\right)}{-9-0}=\dfrac{-1}{-9}=\boxed{\sf{\dfrac{1}{9}}}[/tex]

The slope is 1/9.

Slope-intercept form:

All points (x,y) on the line have m slope and (0,b) y-intercept that satisfy the equation.

⇒ y=mx+b, y=b+mx and y=mx+c

The m represents the slope.

The b represents the y-intercept.

The y-intercept is -8.

[tex]\Longrightarrow: \boxed{\sf{y=\dfrac{1}{9}x-8 }}[/tex]

  • Therefore, the correct answer is y=1/9x-8.

I hope this helps, let me know if you have any questions.

Learn more about slope-intercept form at:

https://brainly.com/question/12056584

https://brainly.com/question/14259385

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