Explanation:
We need to find the
x-intercept and
y-intercept for each of the 6 lines.
- The
x-intercept is where the line crosses the x-axis → that’s where
y = 0. So look for the point on the graph where the line touches the horizontal axis (the x-axis), and read the x-coordinate.
- The
y-intercept is where the line crosses the y-axis → that’s where
x = 0. So look for the point where the line touches the vertical axis (the y-axis), and read the y-coordinate.
Let’s go one by one:
1) Line goes through:
- Crosses x-axis at
x = –3, y = 0 → x-intercept =
–3
- Crosses y-axis at
y = –3, x = 0 → y-intercept =
–3
2) Line goes through:
- Crosses x-axis at
x = –2, y = 0 → x-intercept =
–2
- Crosses y-axis at
y = 3, x = 0 → y-intercept =
3
3) Line goes through:
- Crosses x-axis at
x = –1, y = 0 → x-intercept =
–1
- Crosses y-axis at
y = –2, x = 0 → y-intercept =
–2
4) Line goes through:
- Crosses x-axis at
x = 0, y = 0 → x-intercept =
0
- Also crosses y-axis at
y = 0, x = 0 → y-intercept =
0
(This line passes through the origin.)
5) Line goes through:
- Crosses x-axis at
x = 4, y = 0 → x-intercept =
4
- Crosses y-axis at
y = –4, x = 0 → y-intercept =
–4
6) Line goes through:
- Crosses x-axis at
x = –3, y = 0 → x-intercept =
–3
- Crosses y-axis at
y = –1, x = 0 → y-intercept =
–1
Let me double-check each using the grid points:
1) Points on line: (–3, 0) and (0, –3) → correct.
2) Points: (–2, 0) and (0, 3) → correct.
3) Points: (–1, 0) and (0, –2) → correct.
4) Points: (0, 0) and (2, 2) → yes, both intercepts are 0.
5) Points: (4, 0) and (0, –4) → correct.
6) Points: (–3, 0) and (0, –1) → correct.
All match.
Final Answer:
1) x-intercept = –3, y-intercept = –3
2) x-intercept = –2, y-intercept = 3
3) x-intercept = –1, y-intercept = –2
4) x-intercept = 0, y-intercept = 0
5) x-intercept = 4, y-intercept = –4
6) x-intercept = –3, y-intercept = –1
Parent Tip: Review the logic above to help your child master the concept of graphing linear equations worksheet answers.
