Question

(05.02)

Answer 1

Answer:

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

Step-by-step explanation:

Let the equation of the line be: $y=mx+b$

where m is the slope and b is the y-intercept.

The given straight line has a y-intercept at $b=3$

The equation is of the form $y=mx+3$

The line passes through the point (2,4).

Let us substitute x=2, and y=4 to find the value of m.

$4=m(2)+3$

$4=2m+3\\4-3=2m\\1=2m\\m=\frac{1}{2}$

The slope is $m=\frac{1}{2}$

Hence the equation of the line is  $y=\frac{1}{2}x+3$