Answer:
Answer: Equation is y = ½x + 3
Step-by-step explanation:
Consider points (4,5) and (0,3)
» General linear equation:
[tex]{ \tt{y = mx + b}}[/tex]
- m is the slope
- b is y-intercept
Slope (m):
[tex]{ \tt{m = \frac{(5 - 3)}{(4 - 0)} }} \\ \\ { \tt{m = \frac{2}{4} = \frac{1}{2} }}[/tex]
slope = ½
y-intercept (c):
[tex]{ \tt{y = \frac{1}{2}x + c }}[/tex]
» Consider point (0,3):
[tex] { \tt{3 = ( \frac{1}{2} \times 0) + c}} \\ \\ { \tt{c = 3}}[/tex]
» Equation:
[tex]{ \boxed{ \tt{y = \frac{1}{2}x + 3 }}}[/tex]
