Question

The line has on slope of 2 passes through the point (1.4) and point B (3.y) Find the value of y.​

Answer 1

Step-by-step explanation:

Slope of the line is 2 and passes through A(1, 3)

x−1y−3=2

y−3=2x−2

y=2x+1

(a) For point B(3, 7)

2(3) + 1 = 7

Hence the point B(3, 7)lies on the line y = 2x + 1

(b) Equation of the line is y = 2x+1.

(c) Let (x1,y1) be the coordinates of point C on line.

Therefore it satisfies the equation of line a y=2x+1

∴y1=2x1+1

BC=2AB

⇒(x1−3)2+(y1−7)2=2(3−1)2+(7−3)2

Squaring both sides, we get

⇒(x1−3)2+(y1−7)2=4[(3−1)2+(7−3)2]

(x1−3)2+(2x1+1−7)2=4[(2)2+(4)2]  [∴

Answer 2

Step-by-step explanation:

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