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devlian [24]
3 years ago
11

A line passes through the point (0, 2) and has a slope of -1/4 What is the equation of the line?

Mathematics
1 answer:
maw [93]3 years ago
3 0

Answer:

The required equation is x + 4y = 8 !!

Step-by-step explanation:

<em><u>Given</u></em><em><u> </u></em><em><u>:</u></em><em><u>-</u></em><em><u> </u></em><em> </em><em>the</em><em> </em><em>line</em><em> </em><em>pass</em><em>es</em><em> </em><em>t</em><em>hrough</em><em> </em><em>the</em><em> </em><em>point</em><em> </em><em>(</em><em> </em><em>0</em><em> </em><em>,</em><em> </em><em>2</em><em> </em><em>)</em><em> </em><em>and</em><em> </em><em>the</em><em> </em><em>slope</em><em> </em><em>of</em><em> </em><em>the</em><em> </em><em>line</em><em> </em><em>is</em><em> </em><em>(</em><em> </em><em>-</em><em>1</em><em>/</em><em>4</em><em> </em><em>)</em><em> </em>

<em>•</em><em> </em><em>Also</em><em>,</em><em> </em><em>to</em><em> </em><em>form</em><em> </em><em>an</em><em> </em><em>eq</em><em>uation</em><em> </em><em>when</em><em> </em><em>a</em><em> </em><em>po</em><em>int</em><em> </em><em>throu</em><em>gh</em><em> </em><em>which</em><em> </em><em>line</em><em> </em><em>passes</em><em> </em><em>and</em><em> </em><em>slope</em><em> </em><em>of</em><em> </em><em>line</em><em> </em><em>is</em><em> </em><em>given</em><em> </em><em>we</em><em> </em><em>use</em><em> </em><em>the</em><em> </em><em>formula</em><em> </em><em>;</em>

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

<em>Where</em><em> </em><em>,</em><em> </em><em>y</em><em> </em><em>and</em><em> </em><em>x</em><em> </em><em>are</em><em> </em><em>vari</em><em>ables</em><em> </em>

<em>and</em><em> </em><em>(</em><em> </em><em>x1</em><em> </em><em>,</em><em> </em><em>y1 </em><em>)</em><em> </em><em>are</em><em> </em><em>the</em><em> </em><em>po</em><em>ints</em><em> </em><em>through</em><em> </em><em>which</em><em> </em><em>line </em><em>passes</em><em> </em>

<em>also</em><em>,</em><em> </em><em>m</em><em> </em><em>=</em><em> </em><em>slope</em><em> </em><em>of</em><em> </em><em>the</em><em> </em><em>re</em><em>quired</em><em> </em><em>line</em><em> </em>

<em>Here</em><em> </em><em>,</em><em> </em><em>x1</em><em> </em><em>=</em><em> </em><em>0</em><em> </em><em>,</em><em> </em><em>y1</em><em> </em><em>=</em><em> </em><em>2</em><em> </em><em>and</em><em> </em><em>m</em><em> </em><em>=</em><em> </em><em>(</em><em> </em><em>-1</em><em>/</em><em>4</em><em> </em><em>)</em><em> </em>

<em>[</em><em> </em><em>Ref</em><em>er to</em><em> the</em><em> attached</em><em> file</em><em> for</em><em> </em><em>furth</em><em>er</em><em> </em><em>process</em><em> </em><em>]</em>

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Read 2 more answers
Please help me asap ty ty :)
Zanzabum

Answer:

x-intercept = (-9,0)

y-intercept = (0,27)

Step-by-step explanation:

So first we will convert 9x - 3y = -81 into slope intercept form (y=mx+b).

Subtract 9x on both sides to get -3y = -9x -81. Next divide -3 on both sides to get y = 3x + 27.

Since b is the y-intercept, in y=mx+b and 27 is in the position of b, we can already tell that 27 is the y-intercept. So we will write it as (0,27) because coordinates are supposed to be written as (x,y).

Now in order to find the x-intercept, we will have to plug in 0 for y, in the original equation, so we can solve for x.

So we have: 9x -3(0) = -81

Since 3 × 0 = 0, we now have 9x - 0 = -81. So next we add 0 on both sides to get 9x = -81, and then we divide by 9 to get x = -9. So we will write this as (-9,0).

Hope this helps you :)

8 0
2 years ago
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