To graph each linear equation, find at least two points that satisfy the equation and plot them on the coordinate plane. Then draw a straight line through the points.
1) For $y = 2x - 3$:
- When $x = 0$, $y = 2(0) - 3 = -3$. Point: $(0, -3)$.
- When $x = 2$, $y = 2(2) - 3 = 1$. Point: $(2, 1)$.
- Plot these points and draw the line.
2) For $y = -3x + 2$:
- When $x = 0$, $y = -3(0) + 2 = 2$. Point: $(0, 2)$.
- When $x = 1$, $y = -3(1) + 2 = -1$. Point: $(1, -1)$.
- Plot these points and draw the line.
3) For $y = \frac{1}{2}x - 5$:
- When $x = 0$, $y = \frac{1}{2}(0) - 5 = -5$. Point: $(0, -5)$.
- When $x = 4$, $y = \frac{1}{2}(4) - 5 = -3$. Point: $(4, -3)$.
- Plot these points and draw the line.
4) For $y = -\frac{2}{3}x + 4$:
- When $x = 0$, $y = -\frac{2}{3}(0) + 4 = 4$. Point: $(0, 4)$.
- When $x = 3$, $y = -\frac{2}{3}(3) + 4 = 2$. Point: $(3, 2)$.
- Plot these points and draw the line.
5) For $x + y = 4$ (rewrite as $y = -x + 4$):
- When $x = 0$, $y = -0 + 4 = 4$. Point: $(0, 4)$.
- When $x = 4$, $y = -4 + 4 = 0$. Point: $(4, 0)$.
- Plot these points and draw the line.
6) For $y = 3$:
- This is a horizontal line where the y-coordinate is always 3.
- Points: $(0, 3)$, $(2, 3)$, $(-2, 3)$, etc.
- Draw a horizontal line through $y = 3$.
Parent Tip: Review the logic above to help your child master the concept of linear graphing worksheet.
