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Give the algebraic rule.2. (0, -1), (2, 3), (4,7)

Sagot :

The slope of the line that passes through the points (x1, y1) and (x2, y2) is computed as follows:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

The line passes through the points (0, -1), (2, 3), then its slope is:

[tex]m=\frac{3-(-1)}{2-0}=\frac{4}{2}=2[/tex]

The slope-intercept form of a line is:

y = mx + b

where m is the slope and b is the y-intercept.

Given that the line passes through (0, -1) then the line intersects the y-axis at -1, that is, b = -1.

Therefore, the algebraic rule is:

y = 2x - 1

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