4. What is the equation of the line which passes through the point (6,4)
and has a slope of 2?

y = 2x - 8

Step-by-step explanation:

Note that in the point:

(x , y) = (6 , 4) ∴ (x = 6 , y = 4)

slope = m = 2

The equation of a line is:

y = mx + b

Plug in the corresponding numbers to the corresponding variables:

4 = (2)(6) + b

Simplify. Multiply 2 with 6:

4 = (2 * 6) + b

4 = 12 + b

Isolate the variable, b. Note the equal sign, what you do to one side, you do to the other. Subtract 12 from both sides:

4 (-12) = 12 (-12) + b

b = 4 - 12

b = -8

Plug in -8 for b:

y = 2x - 8 is your answer.

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