Question

A line passes through point (-9,8) and has a slope of 2/3.
Ax + By = C form

Answer 1

We are here given that a line having a slope of 2/3 passes through the point (-9,8) . We need to find out the equation of the line in
`Ax +By = C` form .

For finding the equation of the line we may use point slope form of the line as ,

Point slope form:-

`\longrightarrow y - y_1=m(x-x_1)`

Substitute the respective values,

`\longrightarrow y -8 = (2)/(3)(x-(-9))\\`

`\longrightarrow 3(y-8)=2(x+9)\\`

`\longrightarrow 3y -24=2x+18\\`

`\longrightarrow 2x -3y = -24-18\\`

`\longrightarrow \underline{\underline{ 2x -3y = -42}}`

with ,

• 
  `A = 2`
• 
  `B = -3`
• 
  `c =-42`

and we are done!