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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]
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