Question

Write the equation of the line that passes through the given points. (2,9.5) and (0,0.5)​

Answer 1

`y = (9)/(2)(x) + (1)/(2)`

Explanation:

Linear equations can be written as

`y = mx + b`

m is
`(y_2 - y_1)/(x_2 - x_1)`

b is the y intercept

`(9.5 - 0.5)/(2-0)\\ =(9)/(2) \\y = (9)/(2)x+b\\(1)/(2)= (9)/(2)(0) + b\\ b = 1/2`

plug in to verify

`9.5 = 9/2(x) + 1/2\\\\9.5 = 9/2(2) + 1/2\\9.5 = 9 + 1/2\\9.5 = 9.5`

it checks out