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Softa [21]
3 years ago
6

Find the y-intercept of the line with equation y − 12 = 4(x − 2).

Mathematics
1 answer:
vfiekz [6]3 years ago
7 0

This equation is written in point-slope form.

In this equation we have the point (2, 12) and the slope of 4.

Slope-intercept form: y = mx + b

m = slope

b = y-intercept

Use the point (2, 12) to solve.

12 = 4(2) + b

12 = 8 + b

12 - 8 = 8 + b - 8

4 = b (y-intercept)

Hope This Helped! Good Luck!

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Step-by-step explanation:

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<em> </em><em>In</em><em> </em><em>Depth</em><em>:</em><em> </em><em>Parallel lines never touch so</em><em> </em><em>they</em><em> </em><em>are</em><em> </em><em> Lines that have same slope but different y intercept</em><em>.</em><em> An example is a square. A square has four parallel sides. The upper and lower sides will never touch because they are the same slope and they both have a finite distance vertically between them. </em>

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<em>y -  y_{1} = m(x -  x_{1})</em>

<em>Where</em><em> </em><em>y1</em><em> </em><em>is</em><em> </em><em>the</em><em> </em><em>y</em><em> </em><em>coordinate</em><em> </em><em>of</em><em> </em><em>the</em><em> </em><em>given</em><em> </em><em>point</em><em>,</em><em> </em><em>m</em><em> </em><em>is</em><em> </em><em>the</em><em> </em><em>slope</em><em> </em><em>and</em><em> </em><em> </em><em>x</em><em> </em><em>is</em><em> </em><em>the</em><em> </em><em>x</em><em> </em><em>coordinates</em><em> </em><em>of</em><em> </em><em>the</em><em> </em><em>given</em><em> </em><em>points</em><em>.</em>

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4 0
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Remark
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