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What is the slope of the line?

7x+2y=5
Choose 1 answer:
(A) 
-(2)/(7)
(B) 
(7)/(2)
(c) 
-(7)/(2)
(D) 
(2)/(7)

What is the slope of the line?\newline7x+2y=57x+2y=5\newlineChoose 11 answer:\newline(A) 27-\frac{2}{7}\newline(B) 72\frac{7}{2}\newline(C) 72-\frac{7}{2}\newline(D) 27\frac{2}{7}

Full solution

Q. What is the slope of the line?\newline7x+2y=57x+2y=5\newlineChoose 11 answer:\newline(A) 27-\frac{2}{7}\newline(B) 72\frac{7}{2}\newline(C) 72-\frac{7}{2}\newline(D) 27\frac{2}{7}
  1. Equation setup: To find the slope of the line represented by the equation 7x+2y=57x + 2y = 5, we need to solve for yy in terms of xx to get the equation into slope-intercept form, which is y=mx+by = mx + b, where mm is the slope.
  2. Isolate y term: Subtract 7x7x from both sides of the equation to isolate the yy term on one side.\newline7x+2y7x=57x7x + 2y - 7x = 5 - 7x\newline2y=7x+52y = -7x + 5
  3. Solve for y: Divide every term by 22 to solve for y.\newline(2y)/2=(7x)/2+5/2(2y) / 2 = (-7x) / 2 + 5 / 2\newliney=72x+52y = -\frac{7}{2} \cdot x + \frac{5}{2}
  4. Identify the slope: Now that we have the equation in slope-intercept form, we can identify the slope as the coefficient of xx.\newlineThe slope is 72-\frac{7}{2}.

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