What is the slope-intercept form of the line passing through $(- 4, 1)$ $(-4, 1)$ and $(- 3, 5)$ $(-3, 5)$ ?

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What is the slope-intercept form of the line passing through $(- 4, 1)$ $(-4, 1)$ and $(- 3, 5)$ $(-3, 5)$ ?

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Answer 1 · 2018-03-21T14:04:27

$y = 4 x + 17$ $y=4x+17$

Explanation:

$the equation of a line in slope-intercept form$ $"the equation of a line in "color(blue)"slope-intercept form"$ is.

$∙ x y = m x + b$ $•color(white)(x)y=mx+b$

$where m is the slope and b the y-intercept$ $"where m is the slope and b the y-intercept"$

$to calculate m use the gradient formula$ $"to calculate m use the "color(blue)"gradient formula"$

$∙ x m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}$ $•color(white)(x)m=(y_2-y_1)/(x_2-x_1)$

$let (x_{1}, y_{1}) = (- 4, 1) and (x_{2}, y_{2}) = (- 3, 5)$ $"let "(x_1,y_1)=(-4,1)" and "(x_2,y_2)=(-3,5)$

$\Rightarrow m = \frac{5 - 1}{- 3 - (- 4)} = \frac{4}{1} = 4$ $rArrm=(5-1)/(-3-(-4))=4/1=4$

$\Rightarrow y = 4 x + b \leftarrow is the partial equation$ $rArry=4x+blarrcolor(blue)"is the partial equation"$

$to find b substitute either of the 2 given points into$ $"to find b substitute either of the 2 given points into"$
$the partial equation$ $"the partial equation"$

$using (- 3, 5) then$ $"using "(-3,5)" then"$

$5 = - 12 + b \Rightarrow b = 5 + 12 = 17$ $5=-12+brArrb=5+12=17$

$\Rightarrow y = 4 x + 17 \leftarrow in slope-intercept form$ $rArry=4x+17larrcolor(red)"in slope-intercept form"$

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What is the slope-intercept form of the line passing through $(- 4, 1)$ $(-4, 1)$ and $(- 3, 5)$ $(-3, 5)$ ?

1 Answer

Explanation:

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Impact of this question

Science

Math

Humanities

... and beyond

What is the slope-intercept form of the line passing through (−4,1) (-4, 1) and (−3,5)(-3, 5) ?

1 Answer

Explanation:

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Impact of this question

What is the slope-intercept form of the line passing through $(- 4, 1)$ $(-4, 1)$ and $(- 3, 5)$ $(-3, 5)$ ?