Hybrid Elementary Algebra Equation Worksheet
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8Hybrid Elementary Algebra
3.6 – 3.7 Introduction
Important forms for the Equation of a line:
=
+
Slope-intercept form: y
where m is the slope of the line and the
mx b
(
)
y -intercept is
0,b .
(
)
(
)
−
=
−
Point-slope form:
y y
m x x
where m is the slope of the line and
, x y
is a point on
1
1
1
1
the line.
=
+
Examples using Slope-intercept form: y
mx b
2
=
− .
1. Find the slope and y -intercept of the line
y
x
4
3
2
(
)
0, 4 − .
The equation is in slope-intercept form, so the slope is
and the y -intercept is
3
=
+ .
2. Find the slope and y -intercept of the line
y
2
x
3
Slope
________
y -intercept ________
−
=
3. Find the slope and y -intercept of the line 5
.
x
2
y
10
Put the equation in slope-intercept form. That means solve for y .
−
= −
+
2
y
5
x
10
−
−
+
2
y
5
x
10
=
−
−
2
2
5
=
−
y
x
5
2
5
(
)
0, 5 − .
The slope is
and the y -intercept is
2
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