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3 years ago

The point-slope form of the equation of the line that passes through (-5, -1) and (10,-7) is

Mathematics

1 answer:

hammer [34]3 years ago

7 0

Answer:

That should be 2x + 5y = 20.

Step-by-step explanation:

First, you have to correct this: y + 7 = -⅖(x - 10). Now, first convert to Slope-Intercept Form by moving -7 to the other side of the equivalence symbol to get y = -⅖x + 4, then finally convert to Standard Form by moving ⅖x to the other side of the equivalence symbol to end up with ⅖x + y = 4.. Now, there is an extended step when it comes to fractional coefficients, and that is multiplying the whole equation by the denominator to get rid of the denominator being there in the first place, REALLY ending with 2x + 5y = 20.

BUT, if your assignment says otherwise, then the first looks correct. I hope this helps.

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Answer:

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3 years ago

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lyudmila [28]

Answer:

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Step-by-step explanation:

Subtract 45 from both sides.

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Simplify -85-45 to -130

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3 years ago

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Answer:

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3 years ago

Read 2 more answers

Please help me with the worksheet

aivan3 [116]

Answer:

9) a = ¾, vertex: (-4, 2), Equation: y = ¾|x + 4| + 2

10) a = ¼, vertex: (0, -3), Equation: y = ¼|x - 0| - 3

11) a = -4, vertex: (3, 1), Equation: y = -4|x - 3| + 1

12) a = 1, vertex: (-2, -2), Equation: y = |x + 2| - 2

Step-by-step explanation:

I could only work on questions 9, 10, 11, 12 in accordance with Brainly's rules. Nevertheless, the techniques demonstrated in this post applies to all of the given problems in your worksheet.

<h2>Definitions:</h2>

The given set of graphs are examples of absolute value functions. The general form of absolute value functions is: y = a|x – h| + k, where:

|a| = determines the vertical stretch or compression factor (wideness or narrowness of the graph).

(h, k) = vertex of the function

x = h represents the axis of symmetry.

<h2>Solutions:</h2><h3>Question 9) ⇒ Vertex: (-4, 2)</h3>

Solve for a:

In order to solve for the value of a, choose another point on the graph, (0, 5) and substitute into the general form (equation):

y = a|x – h| + k

5 = a| 0 - (-4)| + 2

5 = a| 0 + 4 | + 2

5 = a|4| + 2

5 = 4a + 2

Subtract 2 from both sides:

5 - 2 = 4a + 2 - 2

3 = 4a

Divide both sides by 4 to solve for a:

$\LARGE\mathsf{\frac{3}{4}\:=\:\frac{4a}{4}}$

a = ¾

Therefore, given the value of a = ¾, and the vertex, (-4, 2), then the equation of the absolute value function is:

Equation: y = ¾|x + 4| + 2

<h3>Question 10) ⇒ Vertex: (0, -3)</h3>

Solve for a:

In order to solve for the value of a, choose another point on the graph, (4, -2) and substitute into the general form (equation):

y = a|x – h| + k

-2 = a|4 - 0| -3

-2 = a|4| - 3

-2 = 4a - 3

Add 3 to both sides:

-2 + 3 = 4a - 3 + 3

1 = 4a

Divide both sides by 4 to solve for a:

$\LARGE\mathsf{\frac{1}{4}\:=\:\frac{4a}{4}}$

a = ¼

Therefore, given the value of a = ¼, and the vertex, (0, -3), then the equation of the absolute value function is:

Equation: y = ¼|x - 0| - 3

<h3>Question 11) ⇒ Vertex: (3, 1)</h3>

Solve for a:

In order to solve for the value of a, choose another point on the graph, (4, -3) and substitute into the general form (equation):

y = a|x – h| + k

-3 = a|4 - 3| + 1

-3 = a|1| + 1

-3 = a + 1

Subtract 1 from both sides to isolate a:

-3 - 1 = a + 1 - 1

a = -4

Therefore, given the value of a = -4, and the vertex, (3, 1), then the equation of the absolute value function is:

Equation: y = -4|x - 3| + 1

<h3>Question 12) ⇒ Vertex: (-2, -2)</h3>

Solve for a:

In order to solve for the value of a, choose another point on the graph, (-4, 0) and substitute into the general form (equation):

y = a|x – h| + k

0 = a|-4 - (-2)| - 2

0 = a|-4 + 2| - 2

0 = a|-2| - 2

0 = 2a - 2

Add 2 to both sides:

0 + 2 = 2a - 2 + 2

2 = 2a

Divide both sides by 2 to solve for a:

$\LARGE\mathsf{\frac{2}{2}\:=\:\frac{2a}{2}}$

a = 1

Therefore, given the value of a = -1, and the vertex, (-2, -2), then the equation of the absolute value function is:

Equation: y = |x + 2| - 2

5 0

2 years ago

The product of a number and 48 is -18. Create an equation, solve it, and then tell, what that number is???

Sedbober [7]

The product is the result of multiplication.
the product of a number and 48 --- 48x ---is (means equals) - 18
so its gonna be:
48x = -18
x = -18/48
x = - 3/8 <== ur number

8 0

3 years ago

Read 2 more answers