Question

The graph of which of the following equations contains the points (2,3) and (3,2)

Answer 1

`y = 5 - x`

Explanation:

The graph of the equation that will contain the points (2, 3) and (3, 2) is the graph that has a slope value that is equivalent to the slope value of the line running through the two points.

Slope of the line running through (2, 3) and (3, 2):

`slope (m) = (y_2 - y_1)/(x_2 - x_1) = (2 - 3)/(3 - 2) = (-1)/(1) = -1`.

Slope (m) = -1.

The equation,
`y = 5 - x` , is given in the slope-intercept form, which means it has a slope value of -1. I.e. the term "-x" is equivalent to -1x. So therefore, the graph of the equation that contains the points (2, 3) and (3, 2) is
`y = 5 - x`.