a line with a slope of 1/10 passes through the point (20,2). what is its equation in slope-intercept form?

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22-12-2022
Mathematics

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a line with a slope of 1/10 passes through the point (20,2). what is its equation in slope-intercept form?

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igoroleshko156 igoroleshko156 · Answer 1 · 2022-12-22T17:28:59-05:00

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Answer: [tex]y= \frac{1}{10}x[/tex]

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Given: [tex]\textsf{Slope = 1/10 and goes through (20, 2)}[/tex]

Find: [tex]\textsf{Slope in slope-intercept form}[/tex]

Solution: First we need to plug into the point slope formula which is [tex](y - y_1) = m(x - x_1)[/tex]. Let us plug in the values first and then solve for the slope-intercept form.

Plug in the values

[tex](y - y_1) = m(x - x_1)[/tex]

[tex](y - 2) = \frac{1}{10}(x - 20)[/tex]

Simplify

[tex]y - 2 = (\frac{1}{10} * x)+(\frac{1}{10}*-20)[/tex]

[tex]y - 2 = \frac{1}{10}x-2[/tex]

[tex]y - 2 + 2 = \frac{1}{10}x-2 + 2[/tex]

[tex]y= \frac{1}{10}x[/tex]

Answer: Therefore, the final answer in slope-intercept form for the line with a slope of 1/10 that passes through the point (20, 2) is [tex]y= \frac{1}{10}x[/tex]