Find the equation of the line that contains the given points. Write the equation in slope-intercept form, if possible. \[ (-3,3) \text { and }(1,-3) \] Select the correct choice below and, if necessary, fill in the answer box to complete your choice. (Simplify your answer. Use integers or fractions for any numbers in the equation.) A. The equation of the line in slope-intercept form is $y=\left(-\frac{3}{2}\right) x-\frac{3}{2}$. B. The equation of the line cannot be written in slope-intercept form. The equation of the line is

Step 1 ：The slope of a line passing through the points (-3,3) and (1,-3) is given by the formula: \(m = \frac{y_2 - y_1}{x_2 - x_1}\).

Step 2 ：Substituting the given points into the formula, we get \(m = \frac{-3 - 3}{1 - (-3)} = -1.5\).

Step 3 ：The point-slope form of the line equation is: \(y - y_1 = m(x - x_1)\).

Step 4 ：Substituting the slope and one of the points into the equation, we get \(y - 3 = -1.5(x - (-3))\).

Step 5 ：Solving for y, we get the equation of the line in slope-intercept form: \(y = -1.5x - 1.5\).

Step 6 ：Final Answer: The equation of the line in slope-intercept form is \(\boxed{y=-\frac{3}{2}x-\frac{3}{2}}\).