At Westonci.ca, we provide reliable answers to your questions from a community of experts. Start exploring today! Connect with professionals ready to provide precise answers to your questions on our comprehensive Q&A platform. Our platform provides a seamless experience for finding reliable answers from a network of experienced professionals.

A line pass through 1,-5 and the slope of 9

Sagot :

Answer: y = 9x - 14

Step-by-step explanation:

The equation of a line is y = mx + b

We know the slope is 9 so so far the equation we have is y = 9x + b.

Since we know (1,-5) is a point on the line, we can plug in the x and y values into the equation and we get:

-5 = 1*9 + b

-5 = 9 + b

b = -14.

Therefore, the equation of the line is y = 9x - 14

Hello.

Here we have a point that the line passes through: (1, -5)

We also have the line's slope: 9

Now, we have enough information to write the line's equation in Point-Slope Form:

[tex]\mathrm{y-y1=m(x-x1)}[/tex]

Plug in the values and solve:

[tex]\mathrm{y-(-5)=9(x-1)}[/tex]

[tex]\mathrm{y+5+9(x-1)}[/tex]

[tex]\mathrm{y+5=9x-9}[/tex]

[tex]\mathrm{y=9x-9-5}[/tex]

[tex]\mathrm{y=9x-14}[/tex]

Therefore, the answer is

[tex]\mathrm{y=9x-14}[/tex]

I hope it helps.

Have a nice day.

[tex]\boxed{imperturbability}[/tex]

Thank you for visiting our platform. We hope you found the answers you were looking for. Come back anytime you need more information. Your visit means a lot to us. Don't hesitate to return for more reliable answers to any questions you may have. Thank you for visiting Westonci.ca. Stay informed by coming back for more detailed answers.