The function below models the correlation between the number of hours a plant is kept in sunlight (x) and the height (y), in mm, to which it grows:
y = 4 + 2x
what does the y-intercept of this function represent?
the original height of the plant was 4 mm.
the original height of the plant was 2 mm.
the height of the plant increases by 2 mm for every hour of sunlight it receives.
the height of the plant increases by 4 mm for every hour of sunlight it receives.

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step-by-step explanation:

step-by-step explanation:

let

we know that

the y-intercept is the y-coordinate of the point when the value of x is equal to zero

so

the y-coordinate of the point a is the y-intercept

the answer part a) is

the value of y-intercept is

part b) find the slope m

we know that

the value of the slope is equal to

substitute the values

therefore

the answer part b) is

the value of the slope is equal to

the general answer is

the slope is

the value of y-intercept is