equation of a line unto slope -interce 15x-9y=-9 out of 4

To convert the equation \(15x - 9y = -9\) into slope-intercept form, we need to solve for \(y\) in terms of \(x\). The slope-intercept form is given by \(y = mx + b\), where \(m\) is the slope and \(b\) is the y-intercept.<br /><br />Starting with the given equation:<br />\[15x - 9y = -9\]<br /><br />First, isolate the term involving \(y\):<br />\[-9y = -15x - 9\]<br /><br />Next, divide every term by \(-9\) to solve for \(y\):<br />\[y = \frac{15}{9}x + 1\]<br /><br />Simplify the fraction:<br />\[y = \frac{5}{3}x + 1\]<br /><br />So, the equation of the line in slope-intercept form is:<br />\[y = \frac{5}{3}x + 1\]<br /><br />Here, the slope \(m\) is \(\frac{5}{3}\) and the y-intercept \(b\) is \(1\).