Intermediate Algebra
Graphing Linear Equations Using Slopes and Y-Intercepts
Name
Slope-intercept form: y = mx+b
Slope: m =
1. State whether the slope is positive, negative, zero, or undefined.
2. Using the slope formula, calculate the slope of
the line going through the points (-8, 6) and
(-2, 6).
3. Using the slope formula, calculate the slope of
the line going through the points (8, 0) and
(4, -2).
4. For slope ni = ^, means...(circle two)
Up 3
Lefts
Up 3
Rights
Down 3
Left 5
Down 3
Rights
5. Find the slope and the equation of the line in
slope-intercept form.
Slope:
Equation of the line:
6. Find the slope and the equation of the line in
slope intercept form.
Slope:
Equation of the line:
(6. 0)
7. Find the slope and the equation of the line in
slope intercept form.
Slope:
Equation of the line:
(0, 2)
(5,0)
8. Find the slope and the equation of the line in
slope intercept form.
Slope:
Equation of the line:
9. Find the slope and the equation of the line in
slope-intercept form.
Slope:
Equation of the line:
(-3, 0)
10. Find the slope and the equation of the line in
slope intercept form.
Slope:
Equation of the line:
(0, -3)
11. Graph the Hne with slope,
= ^ going through the point (8, 7).
And, state the equation of the line in slope intercept form.
12. Graph the line with a y-intercept (0, -8) with a slope of m =
And, state the equation of the line in slope intercept form.
13. Graph y = -5x + 2 using the slope and the j^-intercept.
14. Graph y = —x + S using the slope and the ;^-intercept.
15. Graph \6y-Sx = 32using the slope and the3^-intercept.
16. Graph 2y + x = ^ using the slope and the >'-intercept.
17. Graph the line through (-3,4) with m = 0.
18. Graph the line through (2,1) with
m = undefined.
-
19. The slope of a line is -3. If a line is to be drawn
parallel to the given line, what will be its
slope?
20. The slope of a line is 2. If a line is to be drawn
perpendicular to the given line, what will be its
slope?
21. Determine the equation of each line.
22. Determine whether the following pair of lines
are parallel, perpendicular, or neither.