Chapter R - Elementary Algebra Review - R.3 Introduction to Graphing - R.3 Exercise Set: 25

$\text{$x$-intercept: } \dfrac{3}{2} \\\text{$y$-intercept: } 3$

Work Step by Step

Substituting $y=0,$ then \begin{array}{l}\require{cancel} 3-y=2x \\\\ 3-0=2x \\\\ 3=2x \\\\ \dfrac{3}{2}=x .\end{array} Hence, the $x$-intercept is $\dfrac{3}{2} .$ Substituting $x=0,$ then \begin{array}{l}\require{cancel} 3-y=2x \\\\ 3-y=2(0) \\\\ 3-y=0 \\\\ -y=-3 \\\\ y=3 .\end{array} Hence, the $y$-intercept is $3 .$ The given equation has the following characetristics: \begin{array}{l}\require{cancel} \text{$x$-intercept: } \dfrac{3}{2} \\\text{$y$-intercept: } 3 .\end{array} Using the intercepts, the graph is shown above.

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