Write an equation of the line that passes through the given points. \[ (-1,7) \text { and }(4,-8) \] The equation is (Type your answer in slope-intercept form.)

Step 1 ：We are given two points (-1,7) and (4,-8). We need to find the equation of the line that passes through these points.

Step 2 ：First, we calculate the slope (m) of the line using the formula: \(m = \frac{y_2 - y_1}{x_2 - x_1}\). Substituting the given points into the formula, we get \(m = \frac{-8 - 7}{4 - (-1)} = -3.0\).

Step 3 ：Next, we use the point-slope form of the equation of a line, which is \(y - y_1 = m(x - x_1)\). Substituting the slope and one of the points into the formula, we get \(y - 7 = -3.0(x - (-1))\).

Step 4 ：Rearranging this equation to the slope-intercept form (y = mx + b), we get \(y = -3x + 4\).

Step 5 ：Final Answer: The equation of the line that passes through the points (-1,7) and (4,-8) is \(\boxed{y = -3x + 4}\).