Write the slopeintercept equation of the function f whose gr

Write the slope-intercept equation of the function f whose graph satisfies the given conditions. The graph of f is perpendicular to the line whose equation is 5x - 8y - 16 = 0 and has the same y-intercept as this line. The equation of the function is. Use integers or tractions for any numbers in the equation.)

Solution

5x -8y - 16=0

8y = 5x -16 ; y = (5/8)x - 2

slope = 5/8 ; y intercept = -2

f is perpedicular to above equation , so, slope = -8/5

y intercept = -2

So f(x) = -8x/5 - 2