# How do you find the equation given (4, 6) and slope 3/2?

Jul 11, 2016

The equation of the line in slope-intercept form is
$y = \frac{3}{2} x$

#### Explanation:

We can use the point-slope formula $y - {y}_{1} = m \left(x - {x}_{1}\right)$

Given the point (4,6) and the slope of $\frac{3}{2}$

$m = \frac{3}{2}$
${x}_{1} = 4$
${y}_{1} = 6$

Plug in the values and simplify

$y - 6 = \frac{3}{2} \left(x - 4\right)$

Distribute the slope

$y - 6 = \frac{3}{2} x - 6$

Use additive inverse to isolate the $y$

$y \cancel{- 6} \cancel{+ 6} = \frac{3}{2} x \cancel{- 6} \cancel{+ 6}$

The equation of the line in slope-intercept form is
$y = \frac{3}{2} x$