Question

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

Answer 1

Take 2 points through which the line is passing.

Let it be (0, -3) and (1, 2)

`slope ,m = (y_(2) -y_(1) )/(x_(2) -x_(1) ) = (2--3)/(1-0) = 2+3 = 5`

`equation \ of \ the \ line = (y - y_2) = m(x - x_2)\\`

`(y - 2) = 5( x - 1)\\y - 2 = 5x - 5 \\y = 5x - 5 + 2\\y = 5x -3`