How do you find the slope and intercept of $2 x + 5 y = 15$ $2x+5y=15$ ?

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How do you find the slope and intercept of $2 x + 5 y = 15$ $2x+5y=15$ ?

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Answer 1 · 2018-05-24T19:30:34

$slope = - \frac{2}{5}, y-intercept = 3$ $"slope "=-2/5," y-intercept "=3$

Explanation:

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

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

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

$rearrange 2 x + 5 y = 15 into this form$ $"rearrange "2x+5y=15" into this form"$

$subtract 2 x from both sides and divide terms by 5$ $"subtract "2x" from both sides and divide terms by 5"$

$5 y = - 2 x + 15$ $5y=-2x+15$

$y = - \frac{2}{5} x + 3 \leftarrow in slope-intercept form$ $y=-2/5x+3larrcolor(blue)"in slope-intercept form"$

$with slope = - \frac{2}{5} and y-intercept = 3$ $"with slope "=-2/5" and y-intercept "=3$

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How do you find the slope and intercept of $2 x + 5 y = 15$ $2x+5y=15$ ?

1 Answer

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How do you find the slope and intercept of $2 x + 5 y = 15$ $2x+5y=15$ ?