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Choose the system of equations which matches the following graph.
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a. 3x + 4y = 24 3x + y = –3 b. 3x + 4y = 24 3x – y = 3 c. 3x – 4y = –24 3x + y = –3 d. 3x – 4y = –24 3x – y = 3
tell me your toughts first
i have absolutely no idea how to even start this.
this is all about line equations. Do you know what is line equation in y-intercept slope form?
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The slope of the line passing through (4,9) is 9/3 or 3. The y intercept is -3.\[y=3 x-3 \]\[3x-y=3 \]The other line passes through the points (4,9) and (0,6). Equate the slope calculations for each point and solve for y.\[\frac{y-9}{x-4}=\frac{y-6}{x-0} \]\[y=\frac{3}{4}x+6 \]\[3x-4y=-24 \]The answer is d.
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