Question

Write the equation of the line that passes through the points (1,3) and (3,4).

Answer 1

Answer:

y=1/2x+5/2

Step-by-step explanation:

4-3=1

3-1=2

m=1/2x

So now you have y=1/2x

Insert into equation

y=1/2x+?

Now sub you slope in to last points, and you get 5/2

So now you final answer is:

y=1/2x+5/2

Answer 2

Answer:

$\sf 2y = x+5$

Step-by-step explanation:

coordinates:  (1,3) and (3,4)

slope:

$\sf \frac{y2-x1}{x2-x1}$

$\sf \frac{4-3}{3-1}$

$\sf \frac{1}{2}$ .....(m), slope

equation:

$\sf y - y1 = m ( x - x1 )$

$\sf y - 3 = \frac{1}{2} (x - 1)$

$\sf y = \frac{1}{2}x - \frac{1}{2} +3$

$\sf y = \frac{1}{2}x +\frac{5}{2}$

$\sf y = \frac{x+5}{2}$

$\sf 2y = x+5$