# What is the slope intercept form of the line passing through (24,6)  with a slope of 3/2 ?

Feb 29, 2016

$3 x - 2 y - 60 = 0$

#### Explanation:

Equation of line passing through a point $\left({x}_{1} , {y}_{1}\right)$ and having a slope of $m$ in point-slope form is given by (y-y_1)=m)x-x_1)

Hence equation of line passing through $\left(24 , 6\right)$ and having slope $\frac{3}{2}$ will be

$\left(y - 6\right) = \left(\frac{3}{2}\right) \times \left(x - 24\right)$ or $2 \left(y - 6\right) = 3 x - 72$ or

$3 x - 2 y - 60 = 0$

Feb 29, 2016

The equation is $y = \left(\frac{3}{2}\right) x - 30$

#### Explanation:

The equation is of the form

$y = m x + c$
Where
$m$ is the slope of the line (given as $\frac{3}{2}$)
and $c$ is the slope intercept

Substituting in the values from the question
$6 = \left(\frac{3}{2}\right) .24 + c$

simplifying
6=36 +c

c = -30

The equation is $y = \left(\frac{3}{2}\right) x - 30$