Math  /  Algebra

Question1. y=25x2y=\frac{2}{5} x-2
Slope: yy-int:
4. x=2x=2

Hint: This is not a function! Slope: yy-int:
2. . y=34x1y=-\frac{3}{4} x-1

Slope: yy-int:
5. y=6y=-6

Slope: yy-int:
3. 9. y=4y=-4

Slope: yy-int:
6 埄. y=4x5y=4 x-5
Slope: yy-int:

Studdy Solution

STEP 1

What is this asking? We need to find the slope and yy-intercept for a bunch of different equations! Watch out! Not all equations represent functions, and some might have tricky slopes and intercepts.

STEP 2

1. Equation 1
2. Equation 2
3. Equation 3
4. Equation 4
5. Equation 5
6. Equation 6

STEP 3

We've got y=25x2y = \frac{2}{5}x - 2.
This equation is already in **slope-intercept form**, which is y=mx+by = mx + b, where mm is the **slope** and bb is the yy-**intercept**.

STEP 4

Matching the equation with the slope-intercept form, we see that the **slope** mm is 25\frac{2}{5} and the yy-**intercept** bb is 2-2.
Awesome!

STEP 5

We have y=34x1y = -\frac{3}{4}x - 1.
Again, this is in **slope-intercept form** y=mx+by = mx + b.

STEP 6

The **slope** mm is 34-\frac{3}{4} and the yy-**intercept** bb is 1-1.
Looking good!

STEP 7

This one is y=4y = -4.
This looks a little different, but it's still in slope-intercept form!
It's just missing the xx term.

STEP 8

We can rewrite it as y=0x4y = 0 \cdot x - 4.
Now, we can see the **slope** mm is 00 and the yy-**intercept** bb is 4-4.
A horizontal line!

STEP 9

We're given x=2x = 2.
This is a **vertical line**.

STEP 10

Vertical lines don't have a defined slope, so the **slope** is *undefined*.
Also, it never crosses the yy-axis (unless x=0x=0), so there's no yy-**intercept**.

STEP 11

This one is y=6y = -6.
Similar to equation 3, we can rewrite it as y=0x6y = 0 \cdot x - 6.

STEP 12

The **slope** mm is 00 and the yy-**intercept** bb is 6-6.
Another horizontal line!

STEP 13

We have y=4x5y = 4x - 5.
Back to the familiar **slope-intercept form** y=mx+by = mx + b.

STEP 14

The **slope** mm is 44 and the yy-**intercept** bb is 5-5.
Fantastic!

STEP 15

1. Slope: 25\frac{2}{5}, yy-int: 2-2
2. Slope: 34-\frac{3}{4}, yy-int: 1-1
3. Slope: 00, yy-int: 4-4
4. Slope: *undefined*, yy-int: *none*
5. Slope: 00, yy-int: 6-6
6. Slope: 44, yy-int: 5-5

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