Question

Find an equation for the line that passes through the points (3, 2) and
(-5, 4).
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Answer 1

The 2 points have different abscissas, so the line is not parallel to the y-axis, and has an equation of the form y=ax+b.

The coordinates of the two points verify the equation of the line, so we need to solve the following system of equations:

2=a*(3)+b

4=a*(-5)+b

After solving the system of equations resoudre_systeme([a*(3)+b=2;a*(-5)+b=4];[a;b]), we obtain the equation of the line.

The equation of the line is y =11/4 -x/4 or 2.75-0.25x

Explanation: