Question

Find the equation of the line joining the point (-1,2) to the point of intersection of the lines y-x+7=0 and y+2x-2=0​

Answer 1

Step-by-step explanation:

y - x + 7 = 0 and y +2x - 2 = 0 and point (-1, 2)

first by solving the given equation, we can find their point of intersection. then using two set of points, we can find tne equation of line using two point form

y - y1 = m (x - x1)...............….....A

-x + y = -7 .........1

2x + y = 2.........2

subtracting 2 from 1, we get

-3x = -9 => x = 3 and y = -4 => (3, -4)

therefore two points are (-1, 2) and (3, -4)

equation is y-y1 = m(x-x1)

m = (y2 - y1) / (x2 - x1)

=> -4 -2/3+1 => -6/4 = -3/2

=> -3/2

now putting these values in equation A ,

=> y - 2 = -3/2 ( x - (-1))

=> y - 2 = -3/2 ( x + 1)

=> 2(y - 2) = -3(x + 1)

=> 2y - 4 = - 3 x - 3

=> 3x + 2y - 1 = 0

Answer 2

Step-by-step explanation:

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