# Which equation in standard form has a graph that passes through the point (-4,2) and has a slope of 9/2?

Apr 29, 2018

$2 y - 9 x - 40 = 0$

#### Explanation:

$\left(y - {y}_{1}\right) = m \left(x - {x}_{1}\right)$
Where m=gradient and $\left({x}_{1} , {y}_{1}\right)$ is a point on the slope
$\left(y - 2\right) = \frac{9}{2} \left(x + 4\right)$
$2 y - 4 = 9 x + 36$
$2 y - 9 x - 40 = 0$