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

Answer:

Option (b)

Step-by-step 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' = $\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

m = $\frac{-2-(-3)}{0-3}$

m = $\frac{-2+3}{0-3}$

m = -$\frac{1}{3}$

y-intercept 'b' = (-2)

Equation of the line is,

y = $-\frac{1}{3}x-2$

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

Option (b) will be the answer.