Write the equation of the line that passes through (2, 5) and has a slope of 1/2 .

Question

 Write the equation of the line that passes through (2, 5) and has a slope of 1/2 .

Answer 1

The basic equation of a linear function(strait line) is:

 

y= m(x)+c.

 

In this case Y=5. 

x= 2. and m=1/2. 

 

Now plug in the values calculate and the answer will be as stated by Hannah

 

y=1/2x+4.

Answer 2

For this problem, you have to a use the slope-intercept line equation, which is y=mx+b, where b is the y-intercept and m is the slope.

 

You solve for b by plugging in the the x, y, and m values. 

 

(2,5) is in the form of (x,y) so plug those into the equation along with the slope (m) to get 5=1/2(2)+b. Rearrange the equation to solve for b. 

5=1+b --> 5-1=b --? 4=b

 

Now that you have the y-intercept you can write the general equation as y=1/2x + 4.