a Compare the equation to the slope-intercept form.
B
b How can a missing constant be interpreted?
C
c How can a missing x-variable be interpreted?
D
d Addition is commutative.
A
aSlope: 3
y-intercept: 5
B
bSlope: - 5/4
y-intercept: 0
C
cSlope: 0
y-intercept: 3
D
dSlope: 4
y-intercept: 7
Practice makes perfect
a The given equation is written in slope-intercept form.
y=mx+b
In this equation m is the equation's slope and b is the y-intercept. If we compare this to our equation, y=3x+5, we have that:
slope: m&=3
y-intercept: b&=5
b Like in Part A, the equation is written in slope-intercept form. Note that a missing constant is the same thing as the equation having a constant of 0.
y=5/- 4x ⇔ y=- 5/4x+0
Now we can identify the slope and y-intercept of the equation.
slope: m&=- 5/4
y-intercept: b&=
c This equation is also written in slope-intercept form. However, it's missing the x-term, which is because it has a slope of 0. Let's rewrite the equation to reflect this.
y=7 ⇔ y=0x+3
Now we can identify the slope and y-intercept of the equation.
slope: m&=
y-intercept: b&=3
d Note that addition is commutative. What this means is that you can change the order of the terms without affecting the result. This applies to the slope-intercept form as well.
y=mx+b ⇔ y=b+mx
Now we can identify the slope and y-intercept of the equation.
slope: m&=4
y-intercept: b&=7
