What is an equation of the line with slope 3 that goes through point (2/3,4)?
a. y=3x+2
b. y=3x+4
c. y=3x+6
d. y=3x-6

A

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = 3, thus

y = 3x + c ← is the partial equation of the line

To find c substitute ( , 4) into the partial equation

4 = 2 + c ⇒ c = 4 - 2 = 2

y = 3x + 2 → A

Step-by-step explanation:

We do not check other equations because all the lines have the same slope. Therefore, they are parallel lines. If one of the lines passes through a given point, then another cannot pass through that point.

g(x) is the negative form of f(x)? because whenever its the negative form it reflects its self over the x axis. idk if this is right though.

step-by-step explanation:

b

step-by-step explanation: