What is the equation of the line, in slope-intercept form, that passes through the point (3,7) with slope 2?

Question

Slope intercept form

Answer 1

The slope-intercept form of a straight line is:

 

y = mx + b

 

Where m is the slope and b is the y-intercept. To find the equation of a specific line, we need to find the values of m and b.  The problem tells you that the slope, m, is equal to 2.  So the equation so far is:

 

y = 2x + b

 

Now all we need to do is find the value of b and we're done.  To do that, simply plug in the x and y values from the point given in the problem statement, (3,7).  Remember this is an ordered pair, so it's really (x=3,y=7):

 

y = 2x + b

7 = 2*3 + b                [Plugged in 3 for x and 7 for y]

7 = 6 + b

1 = b

 

So the final equation is:

 

y = 2x + 1