Question

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

Answer 1

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

`m=(y_2-y_1)/(x_2-x_1)`

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

`m=(3-(-1))/(2-0)=(4)/(2)=2`

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