Question

If the slope of a line passing through the point A(3, 2) be $\frac{3}{4}$ then the points on the line which are 5 units away from A are

• A. $(5,5),(-1,-1)$
• B. $(7,5),(-1,-1)$
• C. $(5,7),(-1,-1)$
• D. $(7,5),(1,1)$

Answer 1

The correct option is B $(7,5),(-1,-1)$

Given a point A(3,2) and slope $\frac{3}{4}$ .

The equation of slope is given by ,$y-y_1=m(x-x_1)$

$\Rightarrow y-2=\frac{3}{4}(x-3)\Rightarrow 3x-4y-1=0$

The points which are 5 units away from A are when$x=7$

$3\times 7-4y-1=0$

$\therefore y=5\to (7,5)$