Write an equation for a linear function whose graph has the given characteristics. Passes through (7, 0), parallel to the graph of g(x) = − 6 /7 x − 8

Question

Write an equation for a linear function whose graph has the given characteristics.
Passes through (7, 0), parallel to the graph of
g(x) = 
-6/7
x − 8

Answer 1

g(x) = (-6/7)x - 8 has a slope of -6/7. Parallel lines have equal slopes.

Since you now have a point and a slope, use the Point-Slope for the equation of a line.

 

y - y₁ = m(x - x₁)

y - 0 = -6/7(x - 7)

y = -6/7x + 6