Answer:
m = 2.25
b = 4.15
Step-by-step 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:
[tex] y - y_1 = m(x - x_1) [/tex]
[tex] \therefore y - 6.4 = 2.25(x - 1)[/tex]
[tex] \therefore y - 6.4 = 2.25x - 2.25[/tex]
[tex] \therefore y = 2.25x - 2.25+6.4[/tex]
[tex] \therefore y = 2.25x + 4.15[/tex]
Equating it with y = mx + b, we find:
m = 2.25
b = 4.15
