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

Answer 1

Hazel Anglin

#y = -3/2x + 6#

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.

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Answer 2

Ethan Adkins

The slope-intercept form of the line passing through (2, 3) with a slope of -3/2 is:

y = -3/2x + 6

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.