Answer:
y = (-5/2)x - 3
Explanation:
To find an equation of a line that is perpendicular to the given line and passes through the point (0, -3), we need to use the fact that perpendicular lines have opposite reciprocal slopes.
The given line has a slope of 2/5, so the slope of the line perpendicular to it is:
-1 / (2/5) = -5/2
This means that the equation of the perpendicular line has the form:
y = (-5/2)x + b
where b is the y-intercept we want to find.
Since the line passes through the point (0, -3), we can substitute these values into the equation and solve for b:
-3 = (-5/2)(0) + b
b = -3
Therefore, the equation of the line perpendicular to y = 2/5x + 4 with a y-intercept of -3 is:
y = (-5/2)x - 3