Question

Determine the linear function
knowing the (15)=18
and (7)=10

Answer 1

y = x + 3.

Explanation:

To determine the linear function, we can use the two points given to calculate the slope and then use the point-slope formula.

The slope (m) is calculated as:

m = (y2 - y1) / (x2 - x1)

m = (10 - 18) / (7 - 15)

m = -8 / -8

m = 1

Using the point-slope formula, we can write the equation of the line as:

y - y1 = m (x - x1)

y - 18 = 1 (x - 15)

y - 18 = x - 15

y = x + 3

So, the linear function is y = x + 3.