Question

Write the equation in slope - point form using the following information.

m =
`(2)/(5)` and point (-10, 1). Then, convert it to general form.

Answer 1

`\sf 2 x-5y +25=0`

Step-by-step explanation:

• Given points: (-10, 1)

• slope: 2/5

Equation:

`\dashrightarrow \sf y - y_1 =m(x - x_1)`

`\dashrightarrow \sf y - 1 = (2)/(5) (x - (-10))`

`\dashrightarrow \sf y = (2)/(5) x +4 + 1`

`\dashrightarrow \sf y = (2)/(5) x +5`

`\dashrightarrow \sf 5y = 2 x +25`

`\dashrightarrow \sf 2 x-5y +25=0` General form: ax + by + c = 0