Use the table to answer the question.

Question

x y
4,38
6,58
find the liner function. wright in y=mx+b format

Answer 1

To find the linear function in the y=mx+b format, we need to find the slope (m) and the y-intercept (b).

To find the slope, we can use the formula:
m = (change in y) / (change in x)

For the given table:
(change in y) = 58 - 38 = 20
(change in x) = 6 - 4 = 2

So, the slope (m) = 20/2 = 10.

To find the y-intercept, we can substitute the values of one of the points (4,38) into the linear function equation:
y = mx + b
38 = 10 * 4 + b
38 = 40 + b
b = 38 - 40
b = -2

Therefore, the linear function in the y=mx+b format is:
y = 10x - 2.