line through two points

Practise line through two points with an original VectorPaths question, worked explanation and related VCE Methods practice.

3 practice marks

Original practice question

Find the equation of the straight line through $A(-3, 7)$ and $B(5, -5)$. Give an exact answer.

Worked explanation

• Calculate the gradient

  $m=\frac{-5-(7)}{5-(-3)}=- \frac{3}{2}$.

• Use point-gradient form

  $y-(7)=- \frac{3}{2}(x-(-3))$.

• Simplify

  $y=\frac{5}{2} - \frac{3 x}{2}$.

$y=\frac{5}{2} - \frac{3 x}{2}$.

Original VectorPaths practice; not an official VCAA question or marking rubric.