In the function f(x) = 5x + 2, from (0, 2) what is the direction of the next point? * a. 5 units up and 1 unit to the left

b. 5 units to the left and 1 unit up

c. 5 units up and 1 unit to the right

d. 5 units to the right 1 unit up

Please explain why you chose this answer

b

step-by-step explanation:

the equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (0, 4) and (x₂, y₂ ) = (3, - 5) ← 2 points on the line

m = = = - 3

with m = - 3 and (a, b) = (3, - 5), then

y - (- 5) = - 3(x - 3), that is

y + 5 = - 3(x - 3) → b

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step-by-step explanation:

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