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Misha Larkins [42]
3 years ago
10

What is the equation of a line that passes through the point (0, -2) and has a slope of -3? y = -3 y = -3x - 2 y = -2x - 3 y = -

2
Mathematics
2 answers:
FinnZ [79.3K]3 years ago
8 0
Since y =mx + c

the coordinates are (x,y) so we can substitute them into y =mx +c

also -3 can be written as -3/1 or 3/-1

(-2) = -3/1 (0) +c

rearranging for c

-2 = c ( since -3/1 multiplied by 0 = 0)
we can now say y = -3/1 x + (-2) which simplifies to y= -3/1 x - 2
goblinko [34]3 years ago
5 0
The general equation of a line is y = mx +b. 
m is equal to the slope, so for this problem it is m = -3 
b is equal to the y-intercept (the y-point when x = 0) so according to this since it passes through (0, -2), x=0 at y = -2 
The equation of the line is: y = -3x - 2 
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The point-slope form of a line that has a slope of –2 and passes through point (5, –2) is shown below.
Ilya [14]

Answer:

y =-2x+8

Step-by-step explanation:

We have a point and a slope

(5,-2)  and m =-2

The slope intercept form of a line is

y = mx+b

y = -2x+b

Substitute in the point

-2 = -2(5)+b

-2 = -10+b

Add 10 to each side

-2+ 10 = -10+10 +b

8 = b

The equation is

y =-2x+8

8 0
3 years ago
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The equation of a linear function in point-slope form is y – y1 = m(x – x1). Harold correctly wrote the equation y = 3(x – 7) us
Yanka [14]

Answer:

The point is (7,0).

Step-by-step explanation:

The equation of a linear function in point-slope form is as follows :

y-y_1=m(x-x_1) ...(1)

Where

(x₁,y₁) are the coordinates of the point which  the line passes through it and (x,y).

Harold correctly wrote the equation y= 3(x–7)

or we can write it as :

y-0=3(x-7) ...(2)

Comparing equations (1) and (2), we get :

x₁ = 7 and y₁ = 0

So, the point is (7,0).

The correct option is (c).

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3 years ago
A line passes through A(3, 7), and B(-4, 9). Find the value of a if C(a, 1) is on the line.
marissa [1.9K]

Answer:

ANSWER

a=-32

EXPLANATION

If C(a,1) is on the line that passes through A(3, 7), and B(-4, 9), then the three points are collinear.

This implies that, when we find the slope using any two points, we should get the same re.  sorry couldnt finish

Step-by-step explanation:

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3 years ago
What is the domain and range of this function?<br> I’ll put Brainliest! :)
tatuchka [14]

Answer:

Step-by-step explanation:

The Domain of a function is the x value, and the Range of a function is the y value. For example, in the ordered pair (9,4) the Domain is 9, or the x value, and the Range is 4, or the y value. So to find the Domain and Range, write ordered pairs for each plotted point on your graph (the dot at the end of each line) and then go through and identify the Domain and Range from there. When you list them, write the numbers in numeric order from least to greatest. Hope this helps!

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Please help if you can:)
Zepler [3.9K]
87.41898806% or 87% is what i got
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