Answer:
y = -2/5x+2
Explanation:
The slope of the line perpendicular to the given line is the negative reciprocal of the slope of the given line. i.e, slope of the perpendicular line is -2/5
the x- intercept of 3x+8y-15=0 is determined by substituting zero for the value of y in the equation
3x + 8 *(0) -15 =0
3x-15 = 0
3x =15
x= 5
so, the point we need to find the equation of the line perpendicular to the equation y=5/2x + 6/5 is (5,0)
we consider the slope-intercept equation
y = mx + b
0 = - 2/5 *(5) + b
0 = - 2 + b
b= 2
so, our equation is y = -2/5x+2