To write another equivalent equation, multiply each side by 0.5. 4x – 12y = 8 To write one equivalent equation, multiply each side by 2. SOLUTION Write.

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To write another equivalent equation, multiply each side by x – 12y = 8 To write one equivalent equation, multiply each side by 2. SOLUTION Write two equations in standard form that are equivalent to 2x – 6y = 4. EXAMPLE 1 Write equivalent equations in standard form x – 3y = 2

SOLUTION y – y 1 = m(x – x 1 ) Calculate the slope. STEP 1 EXAMPLE 2 Write an equation from a graph –3–3 m =m = 1 – (–2) 1 – 2 = 3 –1 = Write an equation in point-slope form. Use (1, 1). Write point-slope form. y – 1 = –3(x – 1) Substitute 1 for y 1,  3 for m and 1 for x 1. Write an equation in standard form of the line shown. STEP 2

Rewrite the equation in standard form. EXAMPLE 2 Write an equation from a graph 3x + y = 4 Simplify. Collect variable terms on one side, constants on the other. STEP 3

EXAMPLE 1 GUIDED PRACTICE for Examples 1 and 2 Write two equations in standard form that are equivalent to x – y = x – 2y = 6, 3x – 3y = 9 ANSWER

EXAMPLE 2 Write an equation from a graph GUIDED PRACTICE for Examples 1 and 2 Write an equation in standard form of the line through (3, –1) and (2, –3). 2. –2x + y = –7 ANSWER