# Section 2.3, 2.4 Graphing Lines And Writing Equations Of Lines Worksheet With Answers

Notes#8: Section 2.3: Graphing lines, Section 2.4: Writing equations of lines
Forms of Lines: Lines can be written in either Slope-Intercept form (y = mx + b) or
Standard Form (Ax + By = C). You need to know how to convert from one to the other.
Converting to Slope-Intercept Form
Converting to Standard Form
Goal: y = mx + b
Goal: Ax + By = C
(where m and b are integers or fractions)
(where A, B, and C are integers and
where A is positive)
• Get y alone
• Get x and y terms on the left side and
• Reduce all fractions
the constant term on the right side of
the equation
• Multiply ALL terms by the common
denominator to eliminate the fractions
• If necessary, change ALL signs so
that the x term is positive
1.) Convert to slope-intercept form:
2.) Convert to standard form:
4x – 12y = 8
2
=
y
x
5
3
3.) Convert to both slope-intercept form and standard form:
1
+ = −
a) y – 3 = -5(x + 4)
b.)
y
1
(
x
3)
2
Section 2.3: A. Graphing Lines using the slope and y-intercept:
- Get y alone so the equation is in y = mx + b form (m = _________, b = _________)
- Graph b first. This point goes on the ____ axis.
- Use slope and count rise over run to the next point(s). When you have at least three points on your
graph, connect the points with a ruler to make a straight line.
- Label your graphed line with the original equation
Most common errors:
• Graphing b on the x-axis instead of the y-axis
• Graphing the slope in the wrong direction (e.g. forgetting a negative)
1