GRAPHING EQUATIONS
USING INTERCEPTS
Is the point (-8,0) a
solution to this
equation?
What are two ways
to prove that it is
or isn’t?
1)It’s a point on the line!
2) 3
−8 − 8 0 = −24
−24 − 0 = −24
−24 = −24
(-8,0) is also known as
the x-intercept of
the equation.
Identify the ordered pairs for the x-intercept of each line
What do the four ordered pairs have in common?
y-value of ___
0
All x-intercepts have a __________
How do find the x-intercept
if you don’t have the graph?
2𝑥 − 7𝑦 = −14
y-value of ___
0 !!!
All x-intercepts have a __________
2𝑥 − 7( 0) = −14
2𝑥 = −14
2
2
𝑥 = −7
FIND THE X-INTERCEPT FOR
EACH EQUATION
a) −𝟒𝒙 + 𝟓𝒚 = 𝟐𝟎
−𝟒𝒙 + 𝟓(𝟎) = 𝟐𝟎
−𝟒𝒙 = 𝟐𝟎
−𝟒 −𝟒
𝒙 = −𝟓
b) 3𝒙 − 𝟐𝒚 = −𝟏𝟐
3𝒙 − 𝟐 𝟎 = −𝟏𝟐
3𝒙 = −𝟏𝟐
𝟑
𝟑
𝒙 = −𝟒
(0,3) is also known as
the y-intercept of
the equation.
Identify the ordered pairs for the y-intercept of each line
What do the four ordered pairs have in common?
x-value of ___
0
All y-intercepts have a __________
How do find the y-intercept
if you don’t have the graph?
2𝑥 − 7𝑦 = −14
x-value of ___
0 !!!
All y-intercepts have a __________
2(0 ) − 7𝑦 = −14
− 7𝑦 = −14
−7
−7
y=2
FIND THE Y-INTERCEPT FOR
EACH EQUATION
a) −𝟒𝒙 + 𝟓𝒚 = 𝟐𝟎
−𝟒(𝟎) + 𝟓𝒚 = 𝟐𝟎
5𝒚 = 𝟐𝟎
𝟓
𝟓
y= 𝟒
b) 3𝒙 − 𝟐𝒚 = −𝟏𝟐
3(𝟎) − 𝟐𝒚 = −𝟏𝟐
−𝟐𝒚 = −𝟏𝟐
−𝟐
y= 𝟔
−𝟐
GRAPHING USING THE X AND Y INTERCEPTS
6𝑥 − 5𝑦 = −30
x-intercept
6𝑥 − 5𝑦 = −30
6𝑥 − 5 0 = −30
6𝑥 = −30
𝑥 = −5
y-intercept
6𝑥 − 5𝑦 = −30
6(0) − 5𝑦 = −30
−5𝑦 = −30
𝑦=6