Question

A table of values of a linear function is shown below. x | y0 | -21 | 12 | 43 | 7 Find the slope and y-intercept of the function's graph, and find the equation for the function. slope: X ? y-intercept: equation:

Answer 1

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

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

Replacing with (0, -2) and (1, 1):

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

the y-intercept is the coordinate of the point at which the x-coordinate is equal to zero. From the table, this point is (0,-2)

Slope-intercept form of a line:

y = mx + b

where m is the slope and b is the y-intercept. Replacing with m = 3 and b = -2:

y = 3x - 2

Summarising:

• slope: 3

,

• y-intercept: (0,-2)

,

• equation: y = 3x - 2