If the straight line, 2x-3y+17=0 is perpendicular to the line passing through the points (…

Question

If the straight line, $2x-3y+17=0$ is perpendicular to the line passing through the points $(7,17)$ and $(15,\beta)$, then $\beta$ equals:

Accepted Answer

Slope of given line $=\dfrac23$. Slope of the other line $=\dfrac{\beta-17}8$.

Perpendicularity: $\dfrac23	imes\dfrac{\beta-17}8=-1 \implies \beta-17=-12 \implies \beta=5$

Solutions · 1