Write an equation, in the slope intercept form of the line passing through the points (2,3) and (4,6)
Since slope of line passing through two points (x1,y1) and (x2,y2) is m=y2−y1x2−x1
We now find the slope of the line passing through the points (2,3) and (4,6) as shown below:
m=6−34−2=32
Therefore, the slope of the line is 32.
Now use the slope and point (2,3) to find the y-intercept.
y=mx+b⇒3=(32×2)+b⇒3=3+b⇒b=3−3=0
Write the equation in slope intercept form as:
y=mx+b
Hence, the equation of the line is y=32x..