Graphing and Geometry – Intermediate Algebra
Slope–Intercept Form
1) Find the slope and the y-intercept of the line.
2) Find the slope-intercept equation of the line that has the given characteristics.
Slope 7 and y-intercept (0, 6)
3) Find the slope-intercept equation of the line with the indicated slope and y-intercept.
Slope ; y-intercepts (0, -5)
4) Find the slope-intercept equation of the line that has the given characteristics.
Slope
and y-intercept (0, -5)
Parallel and Perpendicular Lines
Determine whether the pair of equations is parallel, perpendicular or neither.
5)
+5
6)
7) Write a slope-intercept equation of the line whose graph is parallel to
and has y-intercept (0, 8).
8) Write a slope-intercept equation of the line whose graph is perpendicular to
and has y-intercept (0, 4).
9) Write a slope-intercept equation of the line whose graph is perpendicular to
and passes through the point (-2, 3).
Slope Given Two Points
10) Find the slope of the line that goes through the points (-3, 9) and (4, 7).
11) Find the slope of the line that goes through the points (-2, 6) and (-14, 14).
12) Find the slope, if it exists, of the line containing the points (
) and (
).
Determine the Equation of a Graph.
13) Find the coordinate of the y-intercept and the x-intercept for the given line.
14) Find the slope of the line and the slope-intercept equation of the line.
15) Graph.
16) Graph.
Perpendicular Lines.
17) Write an equation of the line containing the point (7, - 8) and perpendicular to the line
.
18) Write an equation in slope-intercept form of the line passing through (8, 9) and perpendicular
to the y-axis.
ANSWERS
1) Slope: , y-intercept: (0,2)
2)
3)
4)
5) Parallel
6) Neither
7)
8)
9)
10)
11)
12)
13) x-intercept: (3, 0), y-intercept: (0, 4)
14)
15)
;
16)
17)
1)