Question

Standard form of a point that goes through-2,4 and the slope is -1/7

Answer 1

Standard form of a line passing through (-2, 4) and having slope of -1/7 is x + 7y = 26

Solution:

Given that we need to determine standard form of a line that goes through (-2 , 4) and slope of the line is -1/7

Standard form of line passing through point ( a , b ) and having slope m is given by

(y – b) = m ( x – a) --------(1)

In our case given point is ( -2 , 4 ) and slope is -1/7 that means

a = -2 , b = 4 , m = -(1/7)

On substituting given value of a , b and m is equation (1) we get

`(y-4)=\left(-(1)/(7)\right)(x-(-2))`

`=>(y-4)=\left(-(1)/(7)\right)(x+2)`

=> 7( y - 4 ) = -x – 2

=> 7y + x = -2 + 28

=> x + 7y = 26

Hence standard form of a line passing through (-2,4) and having slope of –(1/7) is x + 7y = 26