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Khan Academy
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2
week
streak
Level 7(1)
Monkes Negr
Unit test
Google Classroom
Microsoft Teams
The graph of 
(x)/( 2.6)-(y)/( 7.8)=1 in the 
xy-plane is a line. Which of the
following is true about this line?
Choose 1 answer:
(A) The graph's 
x-intercept is 2.6 and its 
y-intercept is 7.8 .
(B) The graph's 
x-intercept is 2.6 and its 
y-intercept is -7.8 .
(C) The graph has a slope of 2.6 .
(D) The graph has a slope of 7.8 .

Khan Academy\newlineDonate cG\newlineet's keep going!\newline22\newlineweek\newlinestreak\newlineLevel 77(11)\newlineMonkes Negr\newlineUnit test\newlineGoogle Classroom\newlineMicrosoft Teams\newlineThe graph of x2.6y7.8=1 \frac{x}{2.6}-\frac{y}{7.8}=1 in the xy x y -plane is a line. Which of the\newlinefollowing is true about this line?\newlineChoose 11 answer:\newline(A) The graph's x x -intercept is 22.66 and its y y -intercept is 77.88 .\newline(B) The graph's x x -intercept is 22.66 and its y y -intercept is 7-7.88 .\newline(C) The graph has a slope of 22.66 .\newline(D) The graph has a slope of 77.88 .

Full solution

Q. Khan Academy\newlineDonate cG\newlineet's keep going!\newline22\newlineweek\newlinestreak\newlineLevel 77(11)\newlineMonkes Negr\newlineUnit test\newlineGoogle Classroom\newlineMicrosoft Teams\newlineThe graph of x2.6y7.8=1 \frac{x}{2.6}-\frac{y}{7.8}=1 in the xy x y -plane is a line. Which of the\newlinefollowing is true about this line?\newlineChoose 11 answer:\newline(A) The graph's x x -intercept is 22.66 and its y y -intercept is 77.88 .\newline(B) The graph's x x -intercept is 22.66 and its y y -intercept is 7-7.88 .\newline(C) The graph has a slope of 22.66 .\newline(D) The graph has a slope of 77.88 .
  1. Find x-intercept: Rearrange the equation to find the x-intercept by setting y=0y = 0.\newlinex2.607.8=1\frac{x}{2.6} - \frac{0}{7.8} = 1\newlinex2.6=1\frac{x}{2.6} = 1\newlinex=2.6x = 2.6
  2. Find y-intercept: Rearrange the equation to find the y-intercept by setting x=0x = 0.\newline02.6y7.8=1\frac{0}{2.6} - \frac{y}{7.8} = 1\newliney7.8=1-\frac{y}{7.8} = 1\newliney=7.8y = -7.8
  3. Convert to slope-intercept form: Rewrite the equation in slope-intercept form y=mx+by = mx + b.\newlinex2.6y7.8=1\frac{x}{2.6} - \frac{y}{7.8} = 1\newlineMultiply through by 77.88 to clear the fraction.\newline7.8x2.6y=7.87.8 \cdot \frac{x}{2.6} - y = 7.8\newline7.8x2.6y=7.8\frac{7.8x}{2.6} - y = 7.8\newlineSimplify 7.82.6=3\frac{7.8}{2.6} = 3.\newline3xy=7.83x - y = 7.8\newlineSolve for yy.\newliney=3x7.8y = 3x - 7.8
  4. Identify the slope: Identify the slope from the equation y=3x7.8y = 3x - 7.8.\newlineThe slope m=3m = 3.

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