y + 3 x = 5 y = − 3 x + 5 x = 0 ⇒ y = − 3 ⋅ 0 + 5 = 5 y = 0 ⇒ 0 = − 3 x + 5 ⇒ 3 x = 5 ⇒ x = 3 5
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To solve the equation y + 3 x = 5 , first rewrite it in slope-intercept form as y = − 3 x + 5 . Then, plot points such as ( 0 , 5 ) and ( 3 5 , 0 ) to graph the line. The slope is -3, indicating the line decreases as it moves to the right.
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