Answer:
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 = }[/tex]
or, m = }[/tex]
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