Write an equation of the line with the given slope, m , and y -intercept \( (0, \mathrm{~b}) \). \( \mathrm{m}=-8, \mathrm{~b}=-\frac{1}{5} \) The equation is (Simplify your answer. Type your answer in slope-intercept form. Use integers or fractions

The equation of the line in slope-intercept form is given by the formula \( y = mx + b \). Plugging in the values \( m = -8 \) and \( b = -\frac{1}{5} \), we get: \( y = -8x - \frac{1}{5} \) This is the slope-intercept form of the line with the specified slope and y-intercept. To make this more visually appealing, you might consider representing yours graphically with the slope of rise/run, here it descends quite steeply due to the negative slope, fascinatingly representing a downward trend! When working with such equations, it’s crucial to remember how to manipulate fractions and maintain clarity in your final equation. Double-checking to ensure common mistakes, like forgetting to adjust signs while simplifying, can save you a headache!