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write an equation in slope-intercept form of the line shown (1,-9) , (-3,-9)

Sagot :

Answer:

y = -9

Step-by-step explanation:

y2 - y1 / x2 - x1

-9 - (-9) / -3 - 1

0 / -4

y = 0 + b

-9 = b

Answer:

  • [tex]\boxed{\sf{y=-9}}[/tex]

Step-by-step explanation:

The slope-intercept form is the only way to solve this problem.

Slope-intercept form:

[tex]\rightarrow \sf{y=mx+b}[/tex]

  • The m represents the slope.
  • The b represents the y-intercept.

Using the slope is another way to solve.

(1,-9) and (-3,-9)

Use a slope formula.

Slope:

[tex]\sf{\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{rise}{run} }[/tex]

y2= (-9)

y1= (-9)

x2= (-3)

x1= (1)

Rewrite the problem.

[tex]\sf{\dfrac{(-9)-(-9)}{(-3)-1}=\dfrac{0}{-4}=\boxed{\sf{0} }[/tex]

  • Therefore, the slope is 0.

We're not done yet.

y-intercept= (-9).

The m represents is 0.

The b represents is (-9).

  • So, the correct answer is y=-9.

I hope this helps you! Let me know if my answer is wrong or not.