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2 years ago

The line through (-2, 3) with slope 2/3 in point slope form

Mathematics

2 answers:

Oduvanchick [21]2 years ago

7 0

Answer:

y - 3 = 2/3(x + 2)

Debora [2.8K]2 years ago

3 0

Answer:

y - 3 = 2/3(x + 2)

Step-by-step explanation:

slope = 2/3

point-slope form --> y - y1 = m(x - x1)

y - 3 = 2/3(x - -2)

y - 3 = 2/3(x + 2)

point slope form of the line is y - 3 = 2/3(x + 2)

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Write a linear equation based on given information. Through (5,-5) and (4,0)

Katena32 [7]

For this case we have that by definition, the equation of the line of the slope-intersection form is given by:

$y = mx + b$

Where:

m: It is the slope of the line

b: It is the cut point with the y axis

We have the following points:

$(x_ {1}, y_ {1}) :( 5, -5)\\(x_ {2}, y_ {2}) :( 4,0)$

We find the slope:

$m = \frac {y_ {2} -y_ {1}} {x_ {2} -x_ {1}} = \frac {0 - (- 5)} {4-5} = \frac {5} {- 1} = - 5$

Thus, the equation is of the form:

$y = -5x + b$

We substitute a point and find b:

$0 = -5 (4) + b\\0 = -20 + b\\b = 20$

Finally, the equation is:

$y = -5x + 20$

Answer:

$y = -5x + 20$

6 0

3 years ago

Evaluate the function for the given value.<br><br> f(-3) if f(x) = 4x 2 + 7x

Natasha_Volkova [10]

Answer:

x = 15

Step-by-step explanation:

f(x) = 4x² + 7x

= 4(-3)² + 7(-3)

= 36 + (-21)

= 15

3 0

3 years ago

Need help ASAP please and thank you

denpristay [2]

The answer is 4, because of you count the number of Doty’s on the 6 and up, you would count 4 dots!

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3 years ago

Read 2 more answers

What are the solutions to x2 + 8x + 7 = 0?

Ymorist [56]

The answer is x=-7 and x=-1

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3 years ago

Please help me find slope !

mars1129 [50]

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3 years ago

The line through (-2, 3) with slope 2/3 in point slope form​

The line through (-2, 3) with slope 2/3 in point slope form