350,082 views
17 votes
17 votes
Write an equation for the line that has a slope of 1/2 and passes through the point (2,4)!!

User Bdumitriu
by
3.0k points

1 Answer

16 votes
16 votes

Answer:

x-2y=-6.

Step-by-step explanation:

Given a line with a slope of 1/2 that passes through the point (2,4):


\begin{gathered} m=(1)/(2) \\ (x_1,y_1)=(2,4) \end{gathered}

Substitute these into the point-slope form of the equation of a line:


y-y_1=m(x-x_1)

This gives:


\begin{gathered} y-4=(1)/(2)(x-2) \\ y-4=(1)/(2)x-(1)/(2)(2) \\ y-4=(1)/(2)x-1 \end{gathered}

We can simplify further:


\begin{gathered} y=(1)/(2)x-1+4 \\ y=(1)/(2)x+3 \\ \implies y=(x+6)/(2) \\ 2y=x+6 \\ x-2y=-6 \end{gathered}

The equation of the line is x-2y=-6.

User PeteAC
by
3.1k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.