Practice Makes Perfect
Identify the x and y Intercepts on a Graph
In the following exercises, find the x and y intercepts on each graph.
Exercise \(\PageIndex{1}\)
 Answer

(3,0),(0,3)
Exercise \(\PageIndex{2}\)
Exercise \(\PageIndex{3}\)
 Answer

(5,0),(0,−5)
Exercise \(\PageIndex{4}\)
Exercise \(\PageIndex{5}\)
 Answer

(−2,0),(0,−2)
Exercise \(\PageIndex{6}\)
Exercise \(\PageIndex{7}\)
 Answer

(−1,0),(0,1)
Exercise \(\PageIndex{8}\)
Exercise \(\PageIndex{9}\)
 Answer

(6,0),(0,3)
Exercise \(\PageIndex{10}\)
Exercise \(\PageIndex{11}\)
 Answer

(0,0)
Exercise \(\PageIndex{12}\)
Find the x and y Intercepts from an Equation of a Line
In the following exercises, find the intercepts for each equation.
Exercise \(\PageIndex{13}\)
x+y=4
 Answer

(4,0),(0,4)
Exercise \(\PageIndex{14}\)
x+y=3
Exercise \(\PageIndex{15}\)
x+y=−2
 Answer

(−2,0),(0,−2)
Exercise \(\PageIndex{16}\)
x+y=−5
Exercise \(\PageIndex{17}\)
x–y=5
 Answer

(5,0),(0,−5)
Exercise \(\PageIndex{18}\)
x–y=1
Exercise \(\PageIndex{19}\)
x–y=−3
 Answer

(−3,0),(0,3)
Exercise \(\PageIndex{20}\)
x–y=−4
Exercise \(\PageIndex{21}\)
x+2y=8
 Answer

(8,0),(0,4)
Exercise \(\PageIndex{22}\)
x+2y=10
Exercise \(\PageIndex{23}\)
3x+y=6
 Answer

(2,0),(0,6)
Exercise \(\PageIndex{24}\)
3x+y=9
Exercise \(\PageIndex{25}\)
x–3y=12
 Answer

(12,0),(0,−4)
Exercise \(\PageIndex{26}\)
x–2y=8
Exercise \(\PageIndex{27}\)
4x–y=8
 Answer

(2,0),(0,−8)
Exercise \(\PageIndex{28}\)
5x–y=5
Exercise \(\PageIndex{29}\)
2x+5y=10
 Answer

(5,0),(0,2)
Exercise \(\PageIndex{30}\)
2x+3y=6
Exercise \(\PageIndex{31}\)
3x–2y=12
 Answer

(4,0),(0,−6)
Exercise \(\PageIndex{32}\)
3x–5y=30
Exercise \(\PageIndex{33}\)
\(y=\frac{1}{3} x+1\)
 Answer

(3,0),(0,1)
Exercise \(\PageIndex{34}\)
\(y=\frac{1}{4} x1\)
Exercise \(\PageIndex{35}\)
\(y=\frac{1}{5} x+2\)
 Answer

(−10,0),(0,2)
Exercise \(\PageIndex{36}\)
\(y=\frac{1}{3} x+4\)
Exercise \(\PageIndex{37}\)
y=3x
 Answer

(0,0)
Exercise \(\PageIndex{38}\)
y=2x
Exercise \(\PageIndex{39}\)
y=4x
 Answer

(0,0)
Exercise \(\PageIndex{40}\)
y=5x
Graph a Line Using the Intercepts
In the following exercises, graph using the intercepts.
Exercise \(\PageIndex{41}\)
\(x+5 y=10\)
 Answer

Exercise \(\PageIndex{42}\)
\(x+4 y=8\)
Exercise \(\PageIndex{43}\)
\(x+2 y=4\)
 Answer

Exercise \(\PageIndex{44}\)
\(x+2 y=6\)
Exercise \(\PageIndex{45}\)
\(x+y=2\)
 Answer

Exercise \(\PageIndex{46}\)
\(x+y=5\)
Exercise \(\PageIndex{47}\)
\(x+y=3\)
 Answer

Exercise \(\PageIndex{48}\)
\(x+y=1\)
Exercise \(\PageIndex{49}\)
\(xy=1\)
 Answer

Exercise \(\PageIndex{50}\)
\(xy=2\)
Exercise \(\PageIndex{51}\)
\(xy=4\)
 Answer

Exercise \(\PageIndex{52}\)
\(xy=3\)
Exercise \(\PageIndex{53}\)
\(4 x+y=4\)
 Answer

Exercise \(\PageIndex{54}\)
\(3 x+y=3\)
Exercise \(\PageIndex{55}\)
\(2 x+4 y=12\)
 Answer

Exercise \(\PageIndex{56}\)
\(3 x+2 y=12\)
Exercise \(\PageIndex{57}\)
\(3 x2 y=6\)
 Answer

Exercise \(\PageIndex{58}\)
\(5 x2 y=10\)
Exercise \(\PageIndex{59}\)
\(2 x5 y=20\)
 Answer

Exercise \(\PageIndex{60}\)
\(3 x4 y=12\)
Exercise \(\PageIndex{61}\)
\(3 xy=6\)
 Answer

Exercise \(\PageIndex{62}\)
\(2 xy=8\)
Exercise \(\PageIndex{63}\)
\(y=2 x\)
 Answer

Exercise \(\PageIndex{64}\)
\(y=4 x\)
Exercise \(\PageIndex{65}\)
\(y=x\)
 Answer

Exercise \(\PageIndex{66}\)
y=3x