Question

1. graph the following lines on the graph together.

y = x
y = -4
x = 7
y = (1/4)x

Explanation:

Step1: Graph $y=x$

This is a diagonal line with slope 1, passing through the origin $(0,0)$. Plot points like $(-2,-2)$, $(0,0)$, $(3,3)$ and connect them.

Step2: Graph $y=-4$

This is a horizontal line parallel to the x-axis, passing through all points where $y=-4$ (e.g., $(-3,-4)$, $(0,-4)$, $(5,-4)$).

Step3: Graph $x=7$

This is a vertical line parallel to the y-axis, passing through all points where $x=7$ (e.g., $(7,-5)$, $(7,0)$, $(7,4)$).

Step4: Graph $y=\frac{1}{4}x$

This is a line with slope $\frac{1}{4}$ passing through the origin $(0,0)$. Plot points like $(-4,-1)$, $(0,0)$, $(4,1)$ and connect them.

Answer:

The graph will contain:

1. A diagonal line $y=x$ through the origin with a 45-degree slope
2. A horizontal line $y=-4$ running left-right across the graph at $y=-4$
3. A vertical line $x=7$ running up-down along $x=7$
4. A shallow diagonal line $y=\frac{1}{4}x$ through the origin, rising slowly from left to right