How do you write an equation in slope-intercept form of the line that passes through (2,7); Slope: 1?

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How do you write an equation in slope-intercept form of the line that passes through (2,7); Slope: 1?

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Answer 1 · 2018-04-15T17:37:54

$y = x + 5$ $y=x+5$

Explanation:

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

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

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

$here m = 1$ $"here "m=1$

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

$to find b substitute (2, 7) into the partial equation$ $"to find b substitute "(2,7)" into the partial equation"$

$7 = 2 + b \Rightarrow b = 7 - 2 = 5$ $7=2+brArrb=7-2=5$

$\Rightarrow y = x + 5 \leftarrow in slope-intercept form$ $rArry=x+5larrcolor(red)"in slope-intercept form"$

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How do you write an equation in slope-intercept form of the line that passes through (2,7); Slope: 1?

1 Answer

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