77.5k views
13 votes
A line pass through 1,-5 and the slope of 9

2 Answers

8 votes

Answer: y = 9x - 14

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

User ColinKennedy
by
3.4k points
7 votes

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:


\mathrm{y-y1=m(x-x1)}

Plug in the values and solve:


\mathrm{y-(-5)=9(x-1)}


\mathrm{y+5+9(x-1)}


\mathrm{y+5=9x-9}


\mathrm{y=9x-9-5}


\mathrm{y=9x-14}

Therefore, the answer is


\mathrm{y=9x-14}

I hope it helps.

Have a nice day.


\boxed{imperturbability}

User Miles Alden
by
3.9k points