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Answer:
<h2>7x - 4y + 18 = 0</h2>Step-by-step explanation:
The slope-intercept form of an equation of a line:
m - slope
b - y-intercept
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Let
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We have the equation of a line in a general form (Ax + By + C = 0)
Convert it to the slope-intercept form:
<em>subtract 7y from both sides</em>
<em>divide both sides by (-7)</em>
Therefore
We have the equation:
Put the coordinates of the point (-2, 1) to the equation, and solve for <em>b</em> :
<em>multiply both sides by 2</em>
<em>add 7 to both sides</em>
<em>divide both sides by 2</em>
[te]x\dfrac{9}{2}=b\to b=\dfrac{9}{2}[/tex]
Finally:
- <em>slope-intercept form</em>
Convert to the general form:
<em>multiply both sides by 4</em>
<em>subtract 4y from both sides</em>