Determine the equation of the line, in slope -intercept form, with the following information: rate of change: 4 point: (0,-4) square

To determine the equation of the line in slope-intercept form, we need to use the given information about the rate of change (slope) and a point on the line.<br /><br />The slope-intercept form of a line is given by:<br />\[ y = mx + b \]<br />where \( m \) is the slope and \( b \) is the y-intercept.<br /><br />Given:<br />- Slope (\( m \)) = 4<br />- Point = \( (0, -4) \)<br /><br />Since the point \( (0, -4) \) is the y-intercept, we know that \( b = -4 \).<br /><br />Now, substitute the slope and y-intercept into the slope-intercept form:<br />\[ y = 4x - 4 \]<br /><br />So, the equation of the line in slope-intercept form is:<br />\[ y = 4x - 4 \]