Where do (3/2,-7) and (-4,5) intercept

The intercept of the given points is -  

Step-by-step explanation:

Given points as :

( , ) = ( , - 7 )

( , ) = ( - 4 , 5 )

Now, slope of line using given points can be written as :

Slope = m =

or. m = }" alt="\frac{3}{2}" />}" />

or, m = }" alt="\frac{3}{2}" />}" />

or, m =

Or, m =  

∴   m =

So, The slope of the line using points = m =

now, equation of line in slope intercept form can be written as

y - = m × ( x - )

or, y - 5 =   × ( x - ( - 4 ) )

or, y - 5 =   × ( x + 4 )

Or, 11 × ( y - 5 ) = - 24 × ( x + 4 )

Or, 11 y - 55 = - 24 x - 96

Or, 11 y = - 24 x - 96 + 55

Or, 11 y = - 24 x - 41

∴  y = x -  

Now, comparing with slope intercept equation

I.e y = m x + c           , where c is the intercept

So, The intercept of points is  -  

Hence The intercept of the given points is -   Answer