Final answer:
To find the equation of the line with the given slope and point, the point-slope form is used, leading to the equation y = (-3/5)x + 2.4. The provided options did not match the derived equation, indicating a possible error in the question's choices.
Step-by-step explanation:
To write the equation of the line with a slope of -3/5 that passes through the point (-4, 0), we can use the point-slope form of a linear equation which is y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope of the line.
Substituting the given point and slope into the equation, we get: y - 0 = (-3/5)(x - (-4))
Simplify the equation: y = (-3/5)x + (3/5)(4)
Further simplify to get the y-intercept: y = (-3/5)x + 12/5
Converting the fraction to decimal for the y-intercept gives us y = (-3/5)x + 2.4. None of the given options match the correct equation, so it seems there might be an error in the options provided, or additional information might be needed to select the correct option. If we consider only the slope and the given point, the correct equation is y = (-3/5)x + 2.4.