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Answer:
The equation of line passing through points (1 , 4) and (3 , - 4) is y = - 4 x + 8
Step-by-step explanation:
Given as :
A line is passing through points
,
= 1 , 4
,
= 3 , - 4
<u>Now, Equation of line in point-slope form is</u>
y - = m × (x -
)
where m is the slope of line
∵ m =
i.e m =
Or, m =
Or, m = - 4
So, The slope of line = m = - 4
∵, equation of line can be written as
y - = m × (x -
)
<u>So, Putting the value of slope, m and points ( ,
)</u>
i.e y - 4 = ( - 4 ) × ( x - 1 )
Or, y - 4 = ( - 4 ) × x + 4
Or, y - 4 = - 4 x + 4
Or, y = - 4 x + 4 + 4
∴ y = - 4 x + 8
So, The equation of line y = - 4 x + 8
Hence, The equation of line passing through points (1 , 4) and (3 , - 4) is y = - 4 x + 8 Answer