Question

Find m and b of y

= mx + b.
1
X
1
3
10.9
5
14.5
7
19.8
10
26.0
15
35.2
y / 6.4​

Answer 1

m = 2.25

b = 4.15

Explanation:

Let us consider the points (1, 6.4) & (3, 10.9)

Slope (m) = (10.9 - 6.4)/(3 - 1) = 4.5/2 = 2.25

Now, by point slope formula of a line, we have:

`y - y_1 = m(x - x_1)`

`\therefore y - 6.4 = 2.25(x - 1)`

`\therefore y - 6.4 = 2.25x - 2.25`

`\therefore y = 2.25x - 2.25+6.4`

`\therefore y = 2.25x + 4.15`

Equating it with y = mx + b, we find:

m = 2.25

b = 4.15