Write the equation of the line that passes through (7,-4) and (-1,-2) in slope-intercept form. y=-(1)/(4)x-(9)/(4) y=(1)/(4)x-(7)/(4) y=-(1)/(4)x-(7)/(4) y=-4x-6

## Step1: Calculate the Slope<br />### Use the formula for slope \( m = \frac{y_2 - y_1}{x_2 - x_1} \) with points \( (7, -4) \) and \( (-1, -2) \). This gives \( m = \frac{-2 - (-4)}{-1 - 7} = \frac{2}{-8} = -\frac{1}{4} \).<br />## Step2: Find the Y-intercept<br />### Use the point-slope form \( y - y_1 = m(x - x_1) \) with one of the points, say \( (7, -4) \), and the calculated slope \( m = -\frac{1}{4} \). Substitute to find \( b \): <br />\[ y + 4 = -\frac{1}{4}(x - 7) \]<br />\[ y = -\frac{1}{4}x + \frac{7}{4} - 4 \]<br />\[ y = -\frac{1}{4}x - \frac{9}{4} \]