Question

The slope of a straight line passing through $A\left(-2,3\right)$ is$\frac{-4}{3}$.

The points on a straight line passing through $A$ are

• A. $\left(-8,11\right),\left(4,-5\right)$
• B. $\left(-7,9\right),\left(-17,-1\right)$
• C. $\left(7,5\right),\left(-1,-5\right)$
• D. None of these

Answer 1

The correct option is A $\left(-8,11\right),\left(4,-5\right)$

Equation of line passing through A(-2,3) with slope $-\frac{4}{3}$ is:

$\frac{y-3}{x-\left(-2\right)}=-\frac{4}{3}$

$\Rightarrow 3y-9=-4x+8$

$\Rightarrow 4x+3y=17$

Option A: $\left(-8,11\right),\left(4,-5\right)=>-32+33\ne 17]$ false

Option B: $\left(-7,9\right),\left(-17,-1\right)=>-28+27\ne 17$ ] false

Option C :$\left(7,5\right),\left(-1,-5\right)=>28+15\ne 17$ ] false

So correct option : D