Question

Find the slope and y-intercept. Also, determine if it is Proportional or Non Proportional

Answer 1

Explanation:

Slope of a line passing through two points
`(x_1,y_1)` and
`(x_2,y_2)` is,

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

From the table attached,

Two points lying on the graph are (1, 12) and (2, 24).

Slope of the line will be,

m =
`(24-12)/(2-1)`

Slope = 12

Since equation of a line passing through a point (x', y') and slope 'm' is,

y - y' = m(x - x')

Therefore, equation of the line passing through (1, 12) and slope 12 will be,

y - 12 = 12(x - 1)

y = 12x - 12 + 12

y = 12x

By comparing this equation with the equation,

y = mx + b

where 'b' = y-intercept = 0

Since, y-intercept is zero, table will represent the proportional relation between x and y.

Proportional or non proportional → Proportional