Question

Y=max+b

Write an equation of the linear function

Answer 1

Answer: Equation is y = ½x + 3

Explanation:

Consider points (4,5) and (0,3)

» General linear equation:

`{ \tt{y = mx + b}}`

• m is the slope
• b is y-intercept

Slope (m):

`{ \tt{m = ((5 - 3))/((4 - 0)) }} \\ \\ { \tt{m = (2)/(4) = (1)/(2) }}`

slope = ½

y-intercept (c):

`{ \tt{y = (1)/(2)x + c }}`

» Consider point (0,3):

`{ \tt{3 = ( (1)/(2) * 0) + c}} \\ \\ { \tt{c = 3}}`

» Equation:

`{ \boxed{ \tt{y = (1)/(2)x + 3 }}}`