Question

Examine the following table, which represents some points on a line

What equation for the line in slope-intercept form?

a. y = -3x — 6
b. y = -1/3x —2
c. y = -3x —2
d. y = -1/3x —6
e. y = 3x —2

Answer 1

Option (b)

Explanation:

Let the points represented by the given table lie on a line.

And the equation of the line is,

y = mx + b

Where m = slope of the line

b = y-intercept

Let the points lying on the line are (0, -2) and (3, -3)

Slope of the line 'm' =
`(y_(2)-y_(1))/(x_(2)-x_(1))`

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

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

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

y-intercept 'b' = (-2)

Equation of the line is,

y =
`-(1)/(3)x-2`

This equation matches with equation given in option (b).

Option (b) will be the answer.