Question

Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).

The equation of the line in this graph is y = __x +___.

Answer 1

The line equation is y = 1.5x + 3

Fill the first space with '1.5' and the second with '3'

Explanation:

The generic model for a line equation is:

y = ax + b

To find the parameters 'a' and 'b', we can use two points of the graph in the equation.

Using the point (0, 3), we have:

3 = 0*a + b

b = 3

Using the point (-2, 0) and the value of b above, we have:

0 = -2*a + b

2a = 3

a = 1.5

So the line equation is y = 1.5x + 3