Question

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

O y=2x-2
O y=28=2
O y=x+2
O y=x-2

Answer 1

y=x+2

Explanation:

Answer 2

y = x + 2

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=(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=(6-2)/(4-0)=(4)/(4)=1`

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

`y=1x+2`