Question

Write the equation in slope intercept form of a line that goes through (4,9) and has a slope of 1/2

Answer 1

y =
`(1)/(2)` x + 7

Explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y-intercept )

here m =
`(1)/(2)`, hence

y =
`(1)/(2)` x + c ← is the partial equation

to find c substitute (4, 9) into the partial equation

9 = 2 + c ⇒ c = 9 - 2 = 7

y =
`(1)/(2)` x + 7 ← equation in slope-intercept form