What is the slope intercept form of the line passing through #(2,3) # with a slope of #-3/2 #?

1 Answer
Mar 26, 2018

#y = -3/2x + 6#

Explanation:

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

#y = mx + c#

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

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

So, We know the Slope, So, Just substitute #m# with the value of #-3/2#.

So, The equation now becomes :-

#y = -3/2x + c#

But, We have another thing to take care of.

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

So, The Values #2# and #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.