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lorasvet [3.4K]
3 years ago
8

PLS HELP WILL BRAINLIEST 1. line goes through the points (9, 10) and (-3, 2). (a) What is the slope of the line? Show your work

Mathematics
1 answer:
djverab [1.8K]3 years ago
8 0
<span>1. line goes through the points (9, 10) and (-3, 2). (a) What is the slope of the line? Show your work 

slope = (10 - 2)/(9 + 3)
slope = 8/12
slope = 2/3

</span><span>2. Write the equation of the line in point-slope form. 
Show your work 
</span>
 point-slope form. <span>
y - y1 = m(x - x1)

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

</span><span>3. Write the equation of the line in slope-intercept form. 
Show your work.</span><span>

</span>slope = 2/3, passing thru <span> (-3, 2)
</span><span>
y = mx + b
b = y - mx
b = 2 - (2/3)(-3)
b = 2 + 2
b = 4

equation
y = 2/3(x) + 4

</span>
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1.

The <u>new system</u> of equivalent equations are 4x + 6y = 8 and 12x + 3y = 1

To get an equivalent equation, we multiply the original equation by a constant and replace it with the new equation.

So, 2x + 3y = 4 (1)

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So, the <u>new system</u> of equivalent equations are 4x + 6y = 8 and 12x + 3y = 1.

2.

The <u>new system</u> of equivalent equations are 3x - 21y = 24 and 5x + 4y = 20

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x - 7y = 8  (1)

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So, x - 7y = 8 (1) × 3

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3 years ago
Which expression is equivalent to *picture attached*
STALIN [3.7K]

Answer:

\frac{35(1 + 35)}{2}

Step-by-step explanation:

Given:

The attached

Required

Find the equivalent expression

The interpretation of is to add the sequence:

n = 1,2,3,......35

This can be done using the following formula (Sum of n terms of an AP)

S_n = \frac{n}{2}(T_1 + T_n)

Where n is the number of terms from 1 to 35; n = 35

T1 is the first term; T_1 = 1

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S_n = \frac{n}{2}(T_1 + T_n) becomes

S_n = \frac{35}{2}(1 + 35)

S_n = \frac{35(1 + 35)}{2}

From the list of given options;

Option A is correct

\frac{35(1 + 35)}{2}

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4 years ago
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