hopeemmett77 hopeemmett77
  • 03-04-2020
  • Mathematics
contestada

A line that includes the point (6,7) has a slope of 2. What is it’s equation in slope- intercept form?

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igoroleshko156
igoroleshko156 igoroleshko156
  • 03-04-2020

Answer:

[tex]y = 2x - 5[/tex]

Step-by-step explanation:

Step 1:  Find the equation

[tex](y - y_1) = m(x - x_1)[/tex]

[tex](y - 7) = 2(x - 6)[/tex]

[tex]y - 7 + 7 = 2x - 12 + 7[/tex]

[tex]y = 2x - 5[/tex]

Answer:  [tex]y = 2x - 5[/tex]

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Wolfyy
Wolfyy Wolfyy
  • 03-04-2020

Since we know the slope and have one point, we can solve for the y-intercept.

y = mx + b

7 = 2(6) + b

7 = 12 + b

7 - 12 = 12 + b - 12

-5 = b

Now that we have all the information, we can put it into the final equation.

y = 2x - 5

Best of Luck!

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