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3 years ago

There is a line that includes the point (-3, -2) and has a slope of 1. What is its equation in

Mathematics

2 answers:

Anettt [7]3 years ago

8 0

Answer:

Given point ( -3 ,-2 ) and slope ( m) = 1

Step-by-step explanation:

The equation of line is given by 

y - y1 = m (x - x1 )

y + 2 = 1 (x + 3)

y + 2 = x + 3

x + 3 - y -2 = 0

x - y + 1 = 0

Which is the required equation 

skad [1K]3 years ago

4 0

Answer:

y = x + 2.

Step-by-step explanation:

The equation will be in the following slope-intercept form:

y = 1x + c where the 1 is the slope of the line. We can omit the 1, so:

y = x + c.

To find the value of c we plug in the given point (-3, -1)

-1 = -3 + c

c = -1 + 3 = 2.

So we have the answer:

y = x + 2.

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3 years ago

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GarryVolchara [31]

Step-by-step explanation:

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3 years ago

Write a rule for the nth term of the sequence 37, 32, 27, 22, . . . .

Radda [10]

Answer:

a(n) = 37 - 5(n -1)

Step-by-step explanation:

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5 0

3 years ago

Enter the equation of the line in slope-intercept form. Slope is -1/2, and (-9,4) is on the line. The equation of the line is y=

dezoksy [38]

Answer:

$y=\displaystyle-\frac{1}{2}x-\displaystyle\frac{1}{2}$

Step-by-step explanation:

Hi there!

Slope-intercept form: $y=mx+b$ where m is the slope and b is the y-intercept (the value of y when x is 0)

1) Plug in the slope (m)

We're given that the slope is $\displaystyle-\frac{1}{2}$ . In $y=mx+b$ , replace m with $\displaystyle-\frac{1}{2}$ :

$y=\displaystyle-\frac{1}{2}x+b$

2) Determine the y-intercept (b)

$y=\displaystyle-\frac{1}{2}x+b$

We're given the point (-9,4). Plug this point into the equation as $(x,y)$ and solve for b:

$4=\displaystyle-\frac{1}{2}(-9)+b\\\\4=\displaystyle\frac{9}{2}+b$

Subtract $\displaystyle\frac{9}{2}$ from both sides to isolate b:

$4-\displaystyle\frac{9}{2}=\displaystyle\frac{9}{2}+b- \displaystyle\frac{9}{2}\\\\\displaystyle-\frac{1}{2} = b$

Therefore, the y-intercept is $\displaystyle-\frac{1}{2}$ . Plug this back into $y=\displaystyle-\frac{1}{2}x+b$ as b:

$y=\displaystyle-\frac{1}{2}x+(\displaystyle-\frac{1}{2})\\\\y=\displaystyle-\frac{1}{2}x-\displaystyle\frac{1}{2}$

I hope this helps!

6 0

3 years ago

Will mark brainly ASAP

Black_prince [1.1K]

The answer is 56 since complementary angles add up to 90 degrees and one of them is 34 degrees

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3 years ago