Write an equation in point-slope form and slope-interception form for each line

Since slope of line passing through two points

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

= 23

Therefore, the slope of the line is 23 .

Now use the slope and point (2,3) to find the y - intercept.

y=mx+b

⇒3=( 23 ×2)+b

⇒3=3+b

⇒b=3−3=0

Write the equation in slope intercept form as:

y=mx+b

⇒y= mx+b

⇒y= (-2)x − 13

Hence, the equation of the line is y= 23

x..

ok

step-by-step explanation: