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

1 Answer

Soumalya Pramanik

Mar 26, 2018

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

Explanation:

The slope-intercept form of a linear equation with two variables is :

$y = m x + c$ $y = mx + c$

[ Where, $m$ $m$ is the slope of the line,

and, $c$ $c$ is the y-intercept].

So, We know the Slope, So, Just substitute $m$ $m$ with the value of $- \frac{3}{2}$ $-3/2$ .

So, The equation now becomes :-

$y = - \frac{3}{2} x + c$ $y = -3/2x + c$

But, We have another thing to take care of.

We are given that the line must pass through $(2, 3)$ $(2, 3)$ .

So, The Values $2$ $2$ and $3$ $3$ must satisfy the equation.

So, The equation now becomes :-

$color(white)(xxx)3 = -3/cancel2 xx cancel2 + c$

$rArr c - 3 = 3$

$rArr c = 6$

So, Got the Y-Intercept.

So, The Finalised Equation now is :-

$y = -3/2x + 6$

Hope this helps.

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