Khan AcademyDonate cGet's keep going!2weekstreakLevel 7(1)Monkes NegrUnit testGoogle ClassroomMicrosoft TeamsThe graph of 2.6x−7.8y=1 in the xy-plane is a line. Which of thefollowing 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 .
Q. Khan AcademyDonate cGet's keep going!2weekstreakLevel 7(1)Monkes NegrUnit testGoogle ClassroomMicrosoft TeamsThe graph of 2.6x−7.8y=1 in the xy-plane is a line. Which of thefollowing 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 .
Find x-intercept: Rearrange the equation to find the x-intercept by setting y=0.2.6x−7.80=12.6x=1x=2.6
Find y-intercept: Rearrange the equation to find the y-intercept by setting x=0.2.60−7.8y=1−7.8y=1y=−7.8
Convert to slope-intercept form: Rewrite the equation in slope-intercept formy=mx+b.2.6x−7.8y=1Multiply through by 7.8 to clear the fraction.7.8⋅2.6x−y=7.82.67.8x−y=7.8Simplify 2.67.8=3.3x−y=7.8Solve for y.y=3x−7.8
Identify the slope: Identify the slope from the equation y=3x−7.8.The slope m=3.
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