# How do you write the point-slop form of an equation of the line that passes through the given point (5, -2) and has the given slope m=3?

Apr 1, 2015

The equation is $y = 3 x - 17$

The general equation for a straight line is given by:

$y = m x + c$

Where $m$ = gradient or slope.

$c =$ intercept.

Putting in the values $\Rightarrow$

$- 2 = \left(3 \times 5\right) + c$

$c = - 17$

So the equation of the line in question $\Rightarrow$

$y = 3 x - 17$