Question

QuestionFind the equation of the line with slope m=1/4 that contains the point (4,5)

Answer 1

The standard form equation for a line is

`y=mx+b`

in which m represents the slope and b the y-intercept.

start putting the value of the slope into the equation

`y=(1)/(4)x+b`

although it is a fraction we repace it as if it was a whole number

then using (4,5) as (x,y) we can find b, the y-intercept

`5=(1)/(4)(4)+b`

simplify both sides of the equation

`5=1+b`

subtract 1 one on both sides in order to find b

`\begin{gathered} 5-1=1+b-1 \\ 4=b \\ b=4 \end{gathered}`

The equation of the line is

`y=(1)/(4)x+4`