2. The line passes through (-2, 4) and (5, 1). Created by rechelleramos335. Math

The line passes through (-2, 4) and (5, 1)The equation of the line is .

2. The line passes through (-2, 4) and (5, 1)...

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rechelleramos335 @rechelleramos335

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2. The line passes through (-2, 4) and (5, 1)

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MissJindySummer

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$\Large\color{lavender}\underline\mathbb{EQUATION \: OF \: THE \: LINE}$

The line passes through (-2, 4) and (5, 1)

$>Slope-intercept form: y = mx + bRepresentation:<ul><li>Let (x1, y1) = (-2, 4) and (x2, y2) = (5, 1)</li></ul>================================<ul><li><img src=$

$\implies \sf{m=\frac{1-4}{5-(-2)} }$

$\implies \sf{m=\frac{-3}{7} }$

$\implies \sf{m=-\frac{3}{7} }$

---------------------------------

The slope is already given. Now we are going to find the y-intercept, using any of the two given points. In this case, we will use (5, 1).

$\implies \sf{y=-\frac{3}{7}x+b }$
$\implies \sf{1=-\frac{3}{7}(5)+b }$
$\implies \sf{1=-\frac{15}{7}+b }$
$\implies \sf{1+\frac{15}{7}=b }$
$\implies \sf{\frac{22}{7}=b }$

In conclusion, 22/7 is the y-intercept.

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The equation of the line is $\sf{y=-\frac{3}{7} x+\frac{22}{7} }$ .

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The line passes through (-2, 4) and (5, 1)

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The line passes through (-2, 4) and (5, 1)