Question

Find the equation of the straight line passing through the points (-1,3) and (1,9).

Answer 1

Answer:

The equation of the straight line is $y=3x+6$

Step-by-step explanation:

Any straight line passing through points $(a_1,b_1)$ and  $(a_2,b_2)$  is given by:

$y-b_1=m(x-a_1)$  where m is defined as the slope of the line:

$m=\frac{b_2-b_1}{a_2-a_1}$

In the given question

$m=\frac{9-3}{1-(-1)} =3$

Substituting the values we get:

$y-3=3(x+1)\\y-3=3x+3\\y=3x+6$

Reference: https://www.cuemath.com/geometry/equation-of-a-straight-line/

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