Question

Write the equation in slope - point form using the following information.
m = $\frac{2}{5}$ and point (-10, 1). Then, convert it to general form.

Answer 1

Answer:

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

Explanation:

• Given points: (-10, 1)

• slope: 2/5

Equation:

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

$\dashrightarrow \sf y - 1 = \dfrac{2}{5} (x - (-10))$

$\dashrightarrow \sf y = \dfrac{2}{5} x +4 + 1$

$\dashrightarrow \sf y = \dfrac{2}{5} x +5$

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

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