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sveticcg [70]
3 years ago
14

Please answer this question..........

Mathematics
1 answer:
Umnica [9.8K]3 years ago
5 0
In order to find the y-intercept, replace x by 0.

So, for first option:
f(0) = 7(1) - 2 = 5

For second option:
f(0) = -3(1) - 5 = -8

For third option:
f(0) = 5(1)-1=4

For Fourth option:
f(0) = -5(1) + 10 = 5

For Fifth Option:
f(0) = 2(1) + 5 = 7

So, option 1 and 4 have the y-intercept (0,5)
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Find an equation of the line that goes through the points (10,34) and (-1,10)
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Answer:

Given points are ( 10 ,34 ) and ( -1 , 10)

Step-by-step explanation:

<em>The </em><em>equation</em><em> </em><em>of </em><em>line </em><em>is </em><em>given </em><em>by </em>

<em>first </em><em>we </em><em>can </em><em>find </em><em>slope </em><em>(</em><em>m</em><em>) </em>

<em>=</em><em> </em><em>(</em><em>y2 </em><em>-</em><em> </em><em>y</em><em>1</em><em>)</em><em> </em><em>/</em><em> </em><em>(</em><em> </em><em>x2</em><em> </em><em>-</em><em> </em><em>x1</em><em>)</em>

<em>=</em><em> </em><em>3</em><em>4</em><em>-</em><em>1</em><em>0</em><em>/</em><em>1</em><em>0</em><em>+</em><em>1</em>

<em> </em><em>=</em><em>2</em><em>4</em><em>/</em><em>1</em><em>1</em>

<em>Now </em><em>the </em><em>equation </em><em>is</em>

<em>y </em><em>-</em><em> </em><em>y1 </em><em>=</em><em> </em><em>m </em><em>(</em><em> </em><em>x </em><em>-</em><em> </em><em>x1) </em>

<em>y </em><em>-</em><em> </em><em>1</em><em>0</em><em> </em><em>=</em><em> </em><em>2</em><em>4</em><em>/</em><em>1</em><em>1</em><em> </em><em>(</em><em> </em><em>x </em><em>+</em><em>1</em><em>1</em><em>)</em>

<em>11 </em><em>(</em><em> </em><em>y </em><em>-</em><em> </em><em>1</em><em>0</em><em> </em><em>)</em><em> </em><em>=</em><em> </em><em>2</em><em>4</em><em> </em><em>(</em><em>x </em><em>+</em><em> </em><em>1</em><em>1</em><em>)</em>

<em>11y </em><em>-</em><em> </em><em>1</em><em>1</em><em>0</em><em> </em><em>=</em><em> </em><em>24x </em><em>+</em><em> </em><em>2</em><em>6</em><em>4</em>

<em>24x </em><em>+</em><em> </em><em>2</em><em>6</em><em>4</em><em> </em><em>+</em><em>110-11y </em><em>=</em><em>0</em>

<em>24x </em><em>-</em><em> </em><em>11y </em><em>+</em><em> </em><em>3</em><em>7</em><em>4</em><em> </em><em>=</em><em> </em><em>0</em>

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