Calculus Please someone help
posted by Bethany on .
1. Find the slope m and an equation of the tangent line to the graph of the function f a the point (2, 38)
2. Find an equation of the line that passes through the point (9,7) and is perpendicular to the line 5x+3y4=0

1. "the function" is not specified.
2.
The equation perpendicular to the line
L: 5x+3y4=0
is
L1 : 3x5y+k=0
where k is a constant to be determined.
The equation of L1 is obtained by interchanging the coefficients of x and y, and changing the sign of x or y.
The constant k can be determined by the fact that L1 passes through (9,7).
3(9)5(7)+k=0
k=3527=8
So
L1: 3x5y+8=0