Write an equation of the line passing through (-2,1) and (3,2). Give the answer in standart form.
The equation of the line in standart form is____
the slope of this line = \(\frac{2-1}{3--2}\,=\,\frac{1}{5}\)
and the line passes through (-2, 1) so..
(y - 1) = \(\frac15\)(x - -2)
y - 1 = \( \frac15 \) x + \(\frac25\)
y = \( \frac15 \) x + \(\frac75\)
Multiply through by -5.
-5y = -x - 7
Add x to both sides.
x - 5y = -7