Question

What is the equation of the line that passes through the points (5,2) and (-5,7)

Answer 1

Written in y=mx+b form: m is the slope and b is the y-intercept.First you need to use the two points to find the slope, the formula is
`m=(y_(2)- y_(1))/(x_(2) -x_(1))`.

`m=(7-2)/(-5-5)=(5)/(-10)=-(1)/(2)`

So now to find the y-intercept, You can use either or of the (x,y) points since the answer will be the same, but for this I'm going to use (5,2).

`b=2-(-(1)/(2))(5)=(9)/(2)`

Now that we have the slope and the y-intercept, we can put it together to make the equation
`y=-(1)/(2) x+(9)/(2)`.

Hope this helps, now you know the answer and how to do it. HAVE A BLESSED AND WONDERFUL DAY! As well as a great rest of Black History Month! :-)

- Cutiepatutie ☺❀❤