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What is the slope of the line?

3x-4y=7
Choose 1 answer:
(A) 
(7)/(3)
(B) 
(4)/(3)
(C) 
(3)/(4)
(D) 
(3)/(7)

What is the slope of the line?\newline3x4y=73x-4y=7\newlineChoose 11 answer:\newline(A) 73\frac{7}{3}\newline(B) 43\frac{4}{3}\newline(C) 34\frac{3}{4}\newline(D) 37\frac{3}{7}

Full solution

Q. What is the slope of the line?\newline3x4y=73x-4y=7\newlineChoose 11 answer:\newline(A) 73\frac{7}{3}\newline(B) 43\frac{4}{3}\newline(C) 34\frac{3}{4}\newline(D) 37\frac{3}{7}
  1. Convert to slope-intercept form: Convert the given equation into slope-intercept form, which is y=mx+by = mx + b, where mm is the slope.\newlineTo do this, we need to solve for yy in terms of xx.\newlineStarting with the given equation:\newline3x4y=73x - 4y = 7\newlineSubtract 3x3x from both sides to isolate terms with yy on one side:\newline4y=3x+7-4y = -3x + 7\newlineNow, divide both sides by 4-4 to solve for yy:\newlinemm00
  2. Solve for y: Identify the slope from the equation in slope-intercept form.\newlineFrom the equation y=34x74y = \frac{3}{4}x - \frac{7}{4}, the coefficient of xx is the slope (mm).\newlineTherefore, the slope of the line is 34\frac{3}{4}.

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