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blondinia [14]
2 years ago
10

What is the equation of the line that passes through the point (-3,-8) and has a slope of 4?

Mathematics
1 answer:
coldgirl [10]2 years ago
3 0

Step-by-step explanation:

the easiest approach with a given point and the slope of the line is the point-slope form :

y - y1 = a(x - x1)

where "a" is the slope, and (x1, y1) is a point on the line.

so, we get

y - -8 = 4(x - -3)

y + 8 = 4(x + 3)

if we need the slope-intercept form

y = ax + b

we now simplify the point-slope form

y + 8 = 4x + 4×3 = 4x + 12

y = 4x + 4

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Write an absolute value equation to satisfy the given solution set shown on a number line.
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Answer: IX - 4I ≤ 4

Step-by-step explanation:

In the numer line we can see that our possible values of x are in the range:

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An example can be:

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To construct this, we first find the midpoint M of our set, in this case is 4.

Then we write:

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Notice that i am using the minor and equal sign, this is because the black dots means that the values x = 0 and x = 8 are included, if the dots were empty dots, it would be an open set and we should use the <  > signs.

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3 years ago
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go to this

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