Find the slope of the line that passes through the given
points.
1. (-10, -12), (-8,-8), (-6. - 4); (-4, 0)
2. (-4, 2), (0, 1), (4,0), (8, -1)
3. (-7, -7), (0, -8), (7, -9). (14, -10)
4. (-2, 2), (0, 3), (2, 4), (4, 5)
5. (2, -11), (4, -25), (6, -39), (8, –53)
6. (-11, -38), (-5, -14), (1,10), (7, 34)
Find the slope and the y-intercept of the graph of the
linear equation,
7. y = -4x + 6
8. y = -1
9. 4r + y = -1
10. y = 6x – 4
11. -x - 4y + 8 = 0
12. 2.r - 12y + 10 = 0

Answers

Answer 1

Answer:

Step-by-step explanation:

4x − 3= −12x + 13​

4x + 12x = 13 + 3

16x = 16

x = 1

Answer 2

1)

The slope of the line passing through these points is 2.

2)

The slope of the line passing through these points is -1/4.

3)

The slope of the line passing through these points is -1/7.

4)

The slope of the line passing through these points is 1/2.

5)

The slope of the line passing through these points is -7.

6)

The slope of the line passing through these points is 6.

7)

The slope of y = -4x + 6 is -4 and the y-intercept is 6.

8)

The slope is 0 and the y-intercept is -1.

9)

The slope is -4 and the y-intercept is -1.

10)

The slope of y = 6x - 4 is 6 and the y-intercept is -4.

11)

The slope is -1/4 and the y-intercept is 2.

12)

The slope is 1/6 and the y-intercept is 5/6.

What is an equation of a line?

The equation of a line is given by:

y = mx + c

where m is the slope of the line and c is the y-intercept.

Example:

The slope of the line y = 2x + 3 is 2.

The slope of a line that passes through (1, 2) and (2, 3) is 1.

We have,

Slope = (d - b) / (c - a)

Where (a, b) and (c, d) are the two points.

Now,

The slope between (-10, -12) and (-8, -8) is 2.

The slope between (-8, -8) and (-6, -4) is 2.

The slope between (-6, -4) and (-4, 0) is 2.

Therefore,

The slope of the line passing through these points is 2.

The slope between (-4, 2) and (0, 1) is -1/4.

The slope between (0, 1) and (4, 0) is -1/4.

The slope between (4, 0) and (8, -1) is -1/4.

Therefore,

The slope of the line passing through these points is -1/4.

The slope between (-7, -7) and (0, -8) is -1/7.

The slope between (0, -8) and (7, -9) is -1/7.

The slope between (7, -9) and (14, -10) is -1/7.

Therefore,

The slope of the line passing through these points is -1/7.

The slope between (-2, 2) and (0, 3) is 1/2.

The slope between (0, 3) and (2, 4) is 1/2.

The slope between (2, 4) and (4, 5) is 1/2.

Therefore,

The slope of the line passing through these points is 1/2.

The slope between (2, -11) and (4, -25) is -7.

The slope between (4, -25) and (6, -39) is -7.

The slope between (6, -39) and (8, -53) is -7.

Therefore,

The slope of the line passing through these points is -7.

The slope between (-11, -38) and (-5, -14) is 6.

The slope between (-5, -14) and (1, 10) is 8.

The slope between (1, 10) and (7, 34) is 6.

Therefore,

The slope of the line passing through these points is 6.

Now,

The equation in slope intercept form is y = mx + c

where m is the slope of the line and c is the y-intercept.

So,

The slope of y = -4x + 6 is -4 and the y-intercept is 6.

The equation y = -1 represents a horizontal line, so the slope is 0 and the y-intercept is -1.

To find the slope-intercept form, we can rewrite 4r + y = -1 as y = -4r - 1.

Therefore,

The slope is -4 and the y-intercept is -1.

The slope of y = 6x - 4 is 6 and the y-intercept is -4.

To find the slope-intercept form, we can rewrite -x - 4y + 8 = 0 as -4y = x - 8, then divide both sides by -4 to get y = (-1/4)x + 2.

Therefore,

The slope is -1/4 and the y-intercept is 2.

To find the slope-intercept form, we can rewrite 2r - 12y + 10 = 0 as 12y = 2r + 10, then divide both sides by 12 to get y = (1/6)r + 5/6.

Therefore,

The slope is 1/6 and the y-intercept is 5/6.

Thus,

The slope and the y-intercept are given above.

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Answers

Answer:

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Answers

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Answers

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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