Write an equation of the line passing through $(-5,6)$ and having slope -7 . Give the answer in slope-intercept form.
The equation of the line in slope-intercept form is

Step 1 ：The equation of a line in slope-intercept form is given by \(y = mx + b\), where \(m\) is the slope of the line and \(b\) is the y-intercept.

Step 2 ：We are given that the slope \(m\) is -7 and the line passes through the point \((-5,6)\). We can substitute these values into the equation to find the y-intercept \(b\).

Step 3 ：Substituting the values, we get \(6 = -7*(-5) + b\). Solving for \(b\), we get \(b = -29\).

Step 4 ：Now that we have the slope and the y-intercept, we can write the equation of the line in slope-intercept form.

Step 5 ：Final Answer: The equation of the line is \(\boxed{y = -7x - 29}\).