Answer:
Since slope of line passing through two points (x
1
,y
1
) and (x
2
,y
2
) is m=
x
2
−x
1
y
2
−y
1
We now find the slope of the line passing through the points (2,3) and (4,6) as shown below:
m=
4−2
6−3
=
2
3
Therefore, the slope of the line is
2
3
.
Now use the slope and point (2,3) to find the y-intercept.
y=mx+b
⇒3=(
2
3
×2)+b
⇒3=3+b
⇒b=3−3=0
Write the equation in slope intercept form as:
y=mx+b
⇒y=
2
3
x+0
⇒y=
2
3
x
Explanation: