What is the slope intercept form of the line with a slope of $-5/3$ that passes through $(-3,2)$ ?

Question

4649 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-06-06T13:29:10

$y=-$ $5/3$ $x-3$

Slope-intercept form is written as $y=mx+c$ .

Given the information you provided, we already know the slope/gradient ( $m$ ).

$y=-$ $5/3$ $x+c$

Next, we have to find the y-intercept ( $c$ ) by substituting the given point into the equation and solving for $c$ .

$2=-$ $5/3$ $(-3)+c$
$2=5+c$
$c=-3$

Now that we have the values for the slope/gradient ( $m$ ) and y-intercept ( $c$ ), we can write the equation in slope-intercept form.

$y=-$ $5/3$ $x-3$

What is the slope intercept form of the line with a slope of -5/3 -5/3 that passes through (-3,2) (-3,2) ?