y + 3x = 5

Answer 1

The equation $y+3x=5$ can be rewritten in several ways depending on what you're looking to do with it. Here are a few forms:

1. Slope-intercept form (y = mx + b): To express the equation in slope-intercept form (where $y$ is isolated on one side), you can rearrange it: $$y=-3x+5$$ In this form, the slope $m$ is -3 and the y-intercept $b$ is 5.

2. Standard form (Ax + By = C): The equation is already in standard form $y+3x=5$ or can also be written as: $$3x+y=5$$ where $A=3$, $B=1$, and $C=5$.

3. Finding intercepts:

   • Y-intercept: Set $x=0$: $$y+3(0)=5⟹y=5$$ So the y-intercept is $(0,5)$.
   • X-intercept: Set $y=0$: $$0+3x=5⟹x=\frac{5}{3}$$ So the x-intercept is $(\frac{5}{3},0)$.

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