# How do you write the equation of a line with m = -3/2, passes through (4, -7) in standard from?

Oct 20, 2015

$3 x + 2 y = - 26$

#### Explanation:

based on the given we're going to use point-slope form

$y - {y}_{1} = m \left(x - {x}_{1}\right)$

$y - - 7 = - \frac{3}{2} \left(x - 4\right)$

$y + 7 = - \frac{3}{2} \left(x - 4\right)$

$2 \left(y + 7\right) = - 3 \left(x - 4\right)$

$2 y + 14 = - 3 x - 12$

$3 x + 2 y = - 12 - 14$

$3 x + 2 y = - 26$ $\rightarrow$ standard form

$3 x + 2 y + 26 = 0 \rightarrow$ general form