# What is the equation in standard form of the line that passes through the point (1, 24) and has a slope of -0.6?

Jun 25, 2018

$3 x + 5 y = 123$

#### Explanation:

Let's write this equation in point-slope form before converting it into standard form.

$y = m x + b$
$24 = - 0.6 \left(1\right) + b$
$24 = - 0.6 + b$
$24.6 = b$
$y = - 0.6 x + 24.6$

Next, let's add $- 0.6 x$ to each side to get the equation in standard form. Remember that each coefficient MUST be an integer:

$0.6 x + y = 24.6$
$5 \cdot \left(0.6 x + y\right) = \left(24.6\right) \cdot 5$
$3 x + 5 y = 123$