Write an equation for a linear function whose graph has the given characteristics.

passes through (42,0), perpendicular to the graph of g(x)=6x+2

f(x)=

G(x) = 6x + 2the slope here is 6. A perpendicular line will have a negative reciprocal slope. To find the negative reciprocal slope, we flip the original slope and change the sign. So our perpendicular line will have a slope of -1/6. (see how I flipped 6 (or 6/1) and made it 1/6, then I changed the sign and made it -1/6)

y = mx + b
slope(m) = -1/6
(42,0)x = 42 and y = 0
now we sub and find b, the y int
0 = -1/6(42) + b
0 = -7 + b
7 = b

so ur perpendicular equation is : y = -1/6x + 7or f(x) = -1/6x + 7