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3 years ago

Write the equation in point slope form given that the slope is −1/2 and goes through the point (4, −7)

Mathematics

2 answers:

WARRIOR [948]3 years ago

8 0

Y= -1/2x -5 is the equation for the slope to pass through the point

DedPeter [7]3 years ago

5 0

Answer:

y + 7 = (-1/2)(x - 4)

Step-by-step explanation:

Adapt y - k = m(x - h) to the current situation:

y + 7 = (-1/2)(x - 4)

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4 years ago

Explain when the congruent complements theorem would be appropriate to use in a proof.

Natasha2012 [34]

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4 years ago

Six less than six timesa number is 12

vovangra [49]

Six (6) less than (subtraction) six (6) times (multiplication) a number (n) is (=) 12.

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6n = 18 Dviide both sides by 6
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3 years ago

What is the volume of the cube? Cube with length, width, and height labeled as 9 inches. 162 cubic inches 81 cubic inches 729 cu

jenyasd209 [6]

Answer:

729

Step-by-step explanation:

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6 0

4 years ago

Read 2 more answers

What is the equation of the line passing through the points (Two-fifths, StartFraction 19 Over 20 EndFraction)and (one-third,

Vinil7 [7]

<h3>4x - 8y = -6 is the equation of line in standard form</h3>

Solution:

The equation of line in point slope form is given as:

$y - y_1 = m(x-x_1)$

Where, m is the slope of line

The slope of line is given as:

$m = \frac{y_2-y_1}{x_2-x_1}$

From given,

$(x_1, y_1) = (\frac{2}{5} , \frac{19}{20})\\\\(x_2, y_2) = (\frac{1}{3} , \frac{11}{12})$

Substituting the values we get,

$m = \frac{\frac{11}{12} - \frac{19}{20}}{\frac{1}{3} - \frac{2}{5}}\\\\Simplify\\\\m = \frac{-8}{240} \times \frac{15}{-1}\\\\ m = \frac{120}{240}\\\\m = \frac{1}{2}$

$\text{Substitute } m = \frac{1}{2} \text{ and } (x_1, y_1) = (\frac{2}{5} , \frac{19}{20}) \text{ in eqn 1 }$

$y - \frac{19}{20} = \frac{1}{2}(x - \frac{2}{5})\\\\y - \frac{19}{20} = \frac{x}{2} - \frac{1}{5}\\\\\frac{x}{2} - y = - \frac{19}{20} + \frac{1}{5}\\\\\frac{x}{2} - y = \frac{-15}{20}\\\\Simplify\\\\y = \frac{1}{2}x + \frac{3}{4}$

In standard form,

$y = \frac{4x+6}{8}\\\\8y = 4x + 6\\\\4x - 8y = -6$

Thus the equation of line is found

3 0

3 years ago

Read 2 more answers