A line has a slope of (7)/(9) and passes through the point (4,-9) 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. square

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 \( m = \frac{7}{9} \)<br />- Point \((x_1, y_1) = (4, -9)\)<br /><br />Substitute these values into the point-slope formula:<br /><br />\[ y - (-9) = \frac{7}{9}(x - 4) \]<br /><br />Simplify the equation:<br /><br />\[ y + 9 = \frac{7}{9}(x - 4) \]<br /><br />So, the equation of the line in point-slope form is:<br /><br />\[ y + 9 = \frac{7}{9}(x - 4) \]