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In the X Y -plane, a line crosses the Y - axis at the point (0,3) and passes through the point ( 4,5). Which of the following is an equation of the line?A. y = x + 3 2B. y = 2x + 31 C. y = x – 4 2D. y = 2x – 4

Sagot :

Given two points of a line (x1, y1) and (x2, y2), the equation of the line is:

[tex]\begin{equation*} y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1) \end{equation*}[/tex]

We are given the points (0, 3) and (4, 5). Plugging in these values:

[tex]y-3=\frac{5-3}{4-0}(x-0)[/tex]

Operating and simplifying:

[tex]\begin{gathered} y-3=\frac{2}{4}x \\ \\ y=\frac{1}{2}x+3 \end{gathered}[/tex]

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