Question

Find the equation of the line using the point-slope formula. Write the final equation using slope-intercept form. (1,2) with a slope of -8/9​

Answer 1

The point-slope formula is
`(y-y_(1)) = m(x-x_(1) )`

• (
  `x_(1) ,y_(1)`) is (1,2)
• m = -8/9

Now let's plug in the values:

`y -2 = -(8)/(9) (x-1)`

To put it into slope-intercept form, we have to solve for y and put all other variables and constants onto one side

`y - 2 =- (8)/(9) (x-1)\\y =- (8)/(9) x+(8)/(9) +2\\y = - (8)/(9) x+(8)/(9) + (18)/(9)\\ y = -(8)/(9) x+(26)/(9)`

Hope that helps!