Pergunta

To graph the equation 2x+5y=10 Zeplyn draws a line through the points (5,0) and (0,2) What is the slope of the line represented by 2x+5y=10 -(5)/(2) -(2)/(5) (2)/(5) (5)/(2)
Solução

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HernanMestre · Tutor por 5 anos
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To find the slope of the line represented by the equation $2x+5y=10$, we can use the slope-intercept form of a linear equation, which is $y=mx+b$, where $m$ is the slope and $b$ is the y-intercept.<br /><br />First, let's rewrite the given equation in slope-intercept form:<br /><br />$2x+5y=10$<br /><br />$5y=-2x+10$<br /><br />$y=-\frac{2}{5}x+2$<br /><br />Now, we can see that the slope of is $-\frac{2}{5}$.<br /><br />Therefore, the correct answer is $-\frac{2}{5}$.
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