Write the equation of the line in fully simplified slope-intercept form

Answer:
Take 2 points through which the line is passing.
Let it be (0, -3) and (1, 2)
[tex]slope ,m = \frac{y_{2} -y_{1} }{x_{2} -x_{1} } = \frac{2--3}{1-0} = 2+3 = 5[/tex]
[tex]equation \ of \ the \ line = (y - y_2) = m(x - x_2)\\[/tex]
[tex](y - 2) = 5( x - 1)\\y - 2 = 5x - 5 \\y = 5x - 5 + 2\\y = 5x -3[/tex]