\( 1 \leftarrow \) Use the given conditions to write an equation for the line in point-slope form and slope-intercept form. Slope \( =-9 \), passing through \( (-8,-8) \) \( y+8=-9(x+8) \) (Simplity your answer. Use integers or fractions for any numbers in the equation.) Type the slope-intercept form of the line. \( \square \) (Simplify your answer. Use integers or fractions for any numbers in the equation.)

To write the equation in point-slope form, we start with the formula \( y - y_1 = m(x - x_1) \), where \( m \) is the slope and \( (x_1, y_1) \) is the point. Given \( m = -9 \) and the point \( (-8, -8) \), we have: \[ y + 8 = -9(x + 8) \] Now, to convert this into slope-intercept form \( y = mx + b \), we distribute and simplify: \[ y + 8 = -9x - 72 \] Subtract 8 from both sides: \[ y = -9x - 80 \] So, the slope-intercept form of the line is: \[ y = -9x - 80 \] Make sure to check your calculations to avoid small mistakes, like distributing the slope or combining like terms incorrectly! It’s easy to slip on signs with negative numbers.