Draw the following straight line graphs on a Cartesian Plane.

The equation is $y = 0$.
This equation represents all points where the y-coordinate is zero. This is the equation of the x-axis.
To draw this line, simply draw a line that coincides with the x-axis.

The equation is $4y - 2x = 4$.
To draw a straight line, we can find two points that lie on the line. A common method is to find the x-intercept (where $y=0$) and the y-intercept (where $x=0$).

• To find the y-intercept, set $x=0$: $$4y - 2(0) = 4$$ $$4y = 4$$ $$y = 1$$ This gives the point $(0, 1)$.
• To find the x-intercept, set $y=0$: $$4(0) - 2x = 4$$ $$-2x = 4$$ $$x = -2$$ This gives the point $(-2, 0)$. To draw the line, plot the points $(0, 1)$ and $(-2, 0)$ on the Cartesian plane and draw a straight line through them. The equation in slope-intercept form ($y = mx + c$) is:

The slope is $\frac{1}{2}$ and the y-intercept is 1.

The equation is $2x + 2y = 4$.
Again, we find the x-intercept and y-intercept.

• To find the y-intercept, set $x=0$: $$2(0) + 2y = 4$$ $$2y = 4$$ $$y = 2$$ This gives the point $(0, 2)$.
• To find the x-intercept, set $y=0$: $$2x + 2(0) = 4$$ $$2x = 4$$ $$x = 2$$ This gives the point $(2, 0)$. To draw the line, plot the points $(0, 2)$ and $(2, 0)$ on the Cartesian plane and draw a straight line through them. The equation in slope-intercept form ($y = mx + c$) is:

The slope is $-1$ and the y-intercept is 2.

Summary of points for plotting:

• For $y=0$: The line is the x-axis.
• For $4y - 2x = 4$: Plot points $\boxed{(0, 1) \text{ and } (-2, 0)}$.
• For $2x + 2y = 4$: Plot points $\boxed{(0, 2) \text{ and } (2, 0)}$.