The graph of 2.6x−7.8y=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 .
Q. The graph of 2.6x−7.8y=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 .
Convert to slope-intercept form: Convert the given equation to slope-intercept formy=mx+b.The given equation is 2.6x−7.8y=1. To convert it to slope-intercept form, we need to solve for y.
Isolate y-term: Isolate the y-term on one side of the equation.We can start by adding 7.8y to both sides of the equation to get 2.6x=7.8y+1.
Multiply by 7.8: Multiply both sides of the equation by 7.8 to eliminate the fraction for y.7.8×2.6x=y+7.8×1
Simplify equation: Simplify the equation.2.67.8×x=y+7.83×x=y+7.8
Write in slope-intercept form: Write the equation in slope-intercept form.y=3x−7.8
Identify slope and y-intercept: Identify the slope and y-intercept from the equation.The slope m is 3, and the y-intercept b is −7.8.
Determine x-intercept: Determine the x-intercept by setting y to 0 in the equation.0=3x−7.83x=7.8x=37.8x=2.6
Match with options: Match the findings with the given options.The x-intercept is 2.6, and the y-intercept is −7.8, which corresponds to option (B). The slope is 3, which is not one of the options provided.
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