A line has a slope of 7 and passes through the point \( (-1,-8) \). Write its equation in slope- intercept form. Write your answer using integers, proper fractions, and improper fractions in simplest form.

To find the equation of a line with a slope of 7 that passes through the point \((-1, -8)\), we'll use the **slope-intercept form** of a linear equation: \[ y = mx + b \] where: - \( m \) is the slope. - \( b \) is the y-intercept. **Given:** - Slope (\( m \)) = 7 - Point \((-1, -8)\) lies on the line. **Step 1: Plug in the known values into the equation.** \[ -8 = 7(-1) + b \] **Step 2: Solve for \( b \).** \[ -8 = -7 + b \] \[ b = -8 + 7 \] \[ b = -1 \] **Step 3: Write the final equation.** \[ y = 7x - 1 \] **Answer:** \[ y = 7\,x\ -\ 1 \]