Question

Fill in the missing numbers to complete the linear equation that gives the rule for

this table.
11
1
2
3
4
x +
y
9
10
11
12

Answer 1

The missing numbers in the equation are

y = x + 8

How to fill the blanks

The equation is solved to be in the slope intercept form

y = mx + b

Where

m = slope

b = y-intercept (the value of y when x is zero)

slope = change in y / change in x

slope = (10 - 9) / (2 - 1)

slope = 1

Using point (1, 9) and the point - slope formula we solve for b

y - 9 = m (x - 1), m = 1

y - 9 = x - 1

y = x + 8