Math  /  Algebra

Question20. 2x+y=8-2 x+y=8
21. 4x+y=12-4 x+y=-12
22. 6x2y=6 x-2 y=

For each equation, tell whether its graph is a horizontal or a vertical line.
23. y=4y=-4
24. x=3x=3
25. y=74y=\frac{7}{4}

Graph each equation.
27. y=6y=6
28. x=3x=-3
29. y=2y=-2 30.x30 . x Write each equation in standard form using integers.

Studdy Solution

STEP 1

What is this asking? We're figuring out if some lines are horizontal or vertical and then drawing a few of them! Watch out! Don't mix up *x* and *y*!
A horizontal line is all about *y* and a vertical line is all about *x*.

STEP 2

1. Classify the lines
2. Graph the lines

STEP 3

Alright, for problem **23**, we've got y=4y = -4.
Since *y* is always 4-4 no matter what *x* is, this is a **horizontal** line!

STEP 4

Next up, problem **24**: x=3x = 3.
This time, *x* is locked in at **3**, regardless of what *y* does.
That means it's a **vertical** line!

STEP 5

Finally, problem **25**: y=74y = \frac{7}{4}.
Just like problem **23**, *y* is a constant value, meaning it's a **horizontal** line!

STEP 6

We're graphing y=6y = 6.
Since *y* is always **6**, we draw a **horizontal** line that goes through the point (0,6)(0, 6) on the *y*-axis.
Imagine it stretching forever to the left and right, always staying at y=6y = 6.

STEP 7

Now we're graphing x=3x = -3.
Because *x* is always 3-3, we draw a **vertical** line passing through (3,0)(-3, 0) on the *x*-axis.
This line goes straight up and down, forever, with *x* always being 3-3.

STEP 8

For y=2y = -2, we're drawing another **horizontal** line.
This one goes through (0,2)(0, -2) on the *y*-axis, extending infinitely left and right, always at y=2y = -2.

STEP 9

23. **Horizontal**
24. **Vertical**
25. **Horizontal**
27. A horizontal line through (0,6)(0, 6).
28. A vertical line through (3,0)(-3, 0).
29. A horizontal line through (0,2)(0, -2).

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