Reduce the equation 5x + 7y – 35 = 0 to slope-intercept

Question:

Reduce the equation 5x + 7y – 35 = 0 to slope-intercept form, and hence find the slope and the y-intercept of the line

Solution:

Given equation is $5 x+7 y-35=0$

We can rewrite it as $7 y=35-5 x$

$\Rightarrow 7 y=-5 x+35$

$\Rightarrow y=-\frac{5}{7} x+5$

This equation is in the slope-intercept form i.e. it is the form of

$\mathrm{y}=\mathrm{m} \times \mathrm{x}+\mathrm{c}$, where $\mathrm{m}$ is the slope of the line and $\mathrm{c}$ is $\mathrm{y}$-intercept of the line

Therefore, $\mathrm{m}=-\frac{5}{7}$ and $\mathrm{c}=5$

Conclusion: Slope is $-\frac{5}{7}$ and $y$-intercept is 5

 

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