) Lily Part-shope have; write in equation ine A.line with a slope of (9)/(7) passes through the point (-1,-6) What is its equation in point-slope form? Use the specified point in your equation. Write your answer using integers, proper fractions, and improper fractions.Simplify all fractions. __

To find the equation of a line in point-slope form, we use the formula:<br /><br />\[ y - y_1 = m(x - x_1) \]<br /><br />where \( m \) is the slope of the line and \((x_1, y_1)\) is a point on the line.<br /><br />Given:<br />- Slope \( m = \frac{9}{7} \)<br />- Point \((x_1, y_1) = (-1, -6)\)<br /><br />Substitute these values into the point-slope formula:<br /><br />\[ y - (-6) = \frac{9}{7}(x - (-1)) \]<br /><br />Simplify the equation:<br /><br />\[ y + 6 = \frac{9}{7}(x + 1) \]<br /><br />So, the equation of the line in point-slope form is:<br /><br />\[ y + 6 = \frac{9}{7}(x + 1) \]