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

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Answer 1 · 2017-06-06T13:29:10

$y = -$ $y=-$ $\frac{5}{3}$ $5/3$ $x - 3$ $x-3$

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

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

$y = -$ $y=-$ $\frac{5}{3}$ $5/3$ $x + c$ $x+c$

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

$2 = -$ $2=-$ $\frac{5}{3}$ $5/3$ $(- 3) + c$ $(-3)+c$
$2 = 5 + c$ $2=5+c$
$c = - 3$ $c=-3$

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

$y = -$ $y=-$ $\frac{5}{3}$ $5/3$ $x - 3$ $x-3$

What is the slope intercept form of the line with a slope of −53-5/3 that passes through (−3,2) (-3,2) ?