Write an equation of the line that passes through the points (3,6) and (4,10) using function notation.

a.) f(x) = 4x - 6

b.) f(x) = x + 4

c.) y = x + 4

d.) y = 4x - 6

Given:
(3,6) and (4,10)

a) f(x) = 4x - 6
f(3) = 4(3) - 6         f(4) = 4(4) - 6
f(3) = 12 - 6            f(4) = 16 - 6
f(3) = 6                    f(4) = 10

b) f(x) = x + 4
f(3) = 3 + 4             f(4) = 4 + 4
f(3) = 7                    f(4) = 8

c) y = x + 4
y = 3 + 4                y = 4 + 4
y = 7                      y = 8

d) y = 4x - 6
y = 4(3) - 6            y = 4(4) - 6
y = 12 - 6               y = 16 - 6
y = 6                       y = 10

Among the choices, choice A and D have the same value. However, the problem says functions notation. Choice A. is the function notation. A.) f(x) = 4x - 6

0=6x+2y+10 is equivalent to the simplified form: y= -3x - 5• parallel lines always have the same slope, different y intercept knowing this, we can say the slope, or m of the line parallel to y= -3x - 5 is -3.m= -3 hope this could !

Ithink is a. true, but not sure