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Gwar [14]
3 years ago
15

A line that includes the points ( 1 , g ) and ( - 3 , - 2 ) has a slope of - 1. What is the value of g ?

Mathematics
1 answer:
weqwewe [10]3 years ago
6 0
Steps:
~~~~~~~~
(g-(-2))/(1-(-3))=-1
(g+2)/(1+3)=-1
(g+2)/4=-1
g+2=-4
g=-6


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KATRIN_1 [288]

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A) linear; function

Step-by-step explanation:

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PLEASE HELP ME, ill give points! Im in the 7th grade
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Answer: y=-5 x=5

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Which point is collinear with points a and d
Art [367]
B. (6, -8)

First, you need to figure out the slope of the line

(y1 - y2) / (x1 - x2)

After substituting points D(-3, 4) A(3, -4)

[4 - (-4)] / (-3 - 3)
(8) / (-6)

The slope of the line is -8/6 or -4/3 simplified

Then you can put it in point slope form:

(y - y1) = m(x - x1)

(y - y1) = -4/3(x - x1)

The point that I am using for point slope form is A(3, -4)

[y - (-4)] = -4/3(x - 3)
y + 4 = -4/3(x - 3)

Next you have to simplify the equation so that y is isolated

y + 4 = -4/3(x - 3)

First distribute the -4/3

y + 4 = -4/3(x) + (-4/3)(-3)
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Subtract 4 on both sides
y + 4 - 4 = -4/3x + 4 - 4
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Now that you have y = -4/3x, you can substitute the values until one of them makes the equation equal

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3 years ago
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Alex Ar [27]

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Step-by-step explanation:

3 0
2 years ago
The line through (4,-1) and (k,5) is parallel to the line y=-3x+5. FInd the value of k.
Tema [17]

Answer:

k = 2

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - 3x + 5 ← is in slope- intercept form

with slope m = - 3

Parallel lines have equal slopes, thus the 2 points have a slope of - 3

calculate the slope using the slope formula and equate to - 3

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = (4, - 1) and (x₂, y₂ ) = (k, 5)

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- 3(k - 4) = 6 ( divide both sides by - 3 )

k - 4 = - 2 ( add 4 to both sides )

k = 2

3 0
3 years ago
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