Section 3.6 Calculate Slope and Identify the Intercepts
Calculating Slope:
𝑦 −𝑦
𝑚 = 𝑥 2 −𝑥 1 =
2
𝑟𝑖𝑠𝑒
𝑟𝑢𝑛
1
Identify the Y Intercept
Identify the X Intercept
Y intercept is where the line passes
through the y axis. This is where x=0.
X intercept is where the line passes
through the x axis. This is where y=0.
Set x=0 to find the y intercept of a
line.
Set y=0 to find the x intercept of a line.
𝑈𝑝 + , 𝐷𝑜𝑤 𝑛(−)
= 𝑅𝑖𝑔 𝑕𝑡
+ , 𝐿𝑒𝑓𝑡 (−)
1st pt.: 𝑥1 , 𝑦1
2nd pt.: 𝑥2 , 𝑦2
Example: Find the slope of the
two given points. (-2,2) and (4,-2) Example:
𝑦2 − 𝑦1
−2 − 2
−4
𝑚=
=
=
𝑥2 − 𝑥1 4 − (−2)
6
−2
=
3
𝐷𝑜𝑤𝑛 2 𝑠𝑝𝑎𝑐𝑒𝑠
=
𝑅𝑖𝑔𝑕𝑡 3 𝑠𝑝𝑎𝑐𝑒𝑠
Slope m =
Find the y intercept of the
following line 6x+3y = 12
Set x=0 then solve for y.
6(0) + 3y =12
3y=12
−2
3
y=4
Example:
Find the x intercept of the following
line 6x+3y = 12
Set y=0 then solve for x.
6x+3(0)=12
6x=12
x=2