Respuesta :

Answer:

y= -4x+1

Step-by-step explanation:

If you want to write this equation in slope intercept form, you need to find the y-intercept. Here is your current equation y= -4x + b. Then, substitute the x and y for the coordinate. Now, it should look like this: 9= -4(-2) + b. Multiply -4 and -2 to get 8. Now, this is your equation: 9= 8 + b. Then, subtract 8 from both sides to get your final answer, 1=b. Now that you have your y-intercept, go back to your original equation and fill in 1 for b. This is your final equation: y= -4x+1. Hope this helped!

Answer: [tex]y = -4x + 1[/tex]

Step-by-step explanation:

The formula for finding equation of a straight line when a point and a slope is given is :

[tex]y-y_{1}=m(x-x_{1})[/tex]

where m is the slope

[tex]x_{1}=-2[/tex]

[tex]y_{1}=9[/tex]

[tex]m=-4[/tex]

substituting into the equation , we have

[tex]y-9 = -4(x-(-2) )[/tex]

[tex]y-9 = -4 ( x + 2)[/tex]

[tex]y-9 = -4x-8[/tex]

[tex]y = -4x-8+9[/tex]

[tex]y = -4x + 1[/tex]

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