Name:__________________________
Equations of Lines
Date:_____ Period:____
Ms. Anderle
Equations of Lines:
There are two ways that we can write equations of (non-vertical) lines.
 Slope-Intercept Form: this is the most basic form of a linear equation. In
order to graph a line, we will write all equations in the form.
Equation:
 Point-Slope Form: We use this equation when we are given the slope of a line
and have a point that is not the y-intercept. In addition, this form can be used
when we are given any two points on a line.
Equation:
Examples:
1. Write an equation in slope-intercept form of the line with slope 3 and yintercept of -2. Then graph the line.
2. Write an equation of a line with a slope of -¾ that contains the point (-2,5). Then
graph the line.
3. Write an equation of the line that passes through the points (0,3) and (-2,-1).
Then graph the line.
4. Write the equation of the line that passes through the points (-7,4) and (9,-4).
Then graph the line.
5. Write the equation of the line that passes through the point A(2,-5) and is
parallel to the line y = -2x + 3. Then graph both lines.
6. Write an equation of a line that passes through K(3,7), and is perpendicular to
LM with L(-1,-2) and M(-4,8).
7. Write an equation of a line that passes through A(2,-5), and is parallel to BC
with B(1,3) and C(4,5).
8. Write the equation of line that passes through X(1,-4), and is parallel to YZ with
Y(5,2) and Z(-3,-5).
9. Write the equation of the line that passes through D(-5,-6), and is perpendicular
to FG with F(-2,-9) and G(1,-5).
10. Write the equation of the line that has a slope of 3 and passes through the
point A(-1,4).
11. Write the equation of the line that is parallel to BC with B(2,4) and C(5,6) that
passes through point the point (3,-4).
12. Write the equation of the line that is parallel to y = 2x-3 and passes through
the point (-4,5).
13. Write the equitation of the line that is perpendicular to y = -½x + 7, that passes
through the point (-4,3).
14. Write the equation of the line that passes through the point (-7,-4) and is
perpendicular y = ½x + 9.
15. Write the equation of the line that passes through the point (-1,-10) and is
parallel to y = 7.
16. Write the equation of the line that passes through the point (-2,2) and is
perpendicular to y = -5x – 8.
17. Write the equation of the line that is passes through the point (6,2) and is
parallel to y = -2/3x + 1.
REVIEW:
Determine whether the lines are parallel, perpendicular, or neither.
1. y = 2x + 4 & y = 2x – 10
2. y = -½x – 12 & y = 2x + 7
3. y – 4 = 3(x+5) & y + 3 = -1/3 (x+1)
4. y – 3 = 6(x+2) & y + 3 = -1/3(x-4)