Question

Line CD passes through points (0, 2) and (4.6). Which equation represents line CD?

Answer 1

Answer:

y = x + 2

Step-by-step explanation:

The slope-intercept form of an equation of a line:

$y=mx+b$

m - slope

b - y-intercept → (0, b)

The formula of a slope:

$m=\dfrac{y_2-y_1}{x_2-x_1}$

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We have the points (0, 2) → b = 2 and (4, 6).

Calculate the slope:

$m=\dfrac{6-2}{4-0}=\dfrac{4}{4}=1$

Substitute the values of the slope and the y-intercept to the equation of a line:

$y=1x+2$