# What is the equation of the line with slope  m= -4/7  that passes through  (3/4,9/7) ?

Apr 16, 2018

color(maroon)("Equation in Standard Form is ") color(indigo)(4x + 7y = 12

#### Explanation:

color(crimson)("Point - Slope Form " (y - y_1) = m * (x - x_1)

$\left({x}_{1} , {y}_{1}\right) = \left(\frac{3}{4} , \frac{9}{7}\right) , m = - \left(\frac{4}{7}\right)$

$y - \frac{9}{7} = - \left(\frac{4}{7}\right) \cdot \left(x - \frac{3}{4}\right)$

$\frac{7 y - 9}{\cancel{7}} = - \frac{4 x - 3}{\cancel{7}}$

$7 y + 4 x = 9 + 3 = 12$

color(indigo)(4x + 7y = 12