Question

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

Answer 1

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..