Question

A line passes through the point (4,1) and has a slope of 5/2

With the formula (Ax+By=C)

Answer 1

5x - 2y = 18

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 =
`(5)/(2)` , then

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

to find c substitute (4, 1 ) into the partial equation

1 =
`(5)/(2)` (4) + c = 10 + c ( subtract 10 from both sides )

- 9 = c

y =
`(5)/(2)` x - 9 ← in slope- intercept form

multiply through by 2 to clear the fraction

2y = 5x - 18 ( subtract 5x from both sides )

- 5x + 2y = - 18 ( multiply through by - 1 )

5x - 2y = 18 ← in standard form