Which of the following equations represents a line that passes through the points (-4,5) and (6,0) ? I. 3x+6y=12 II. y=-(1)/(2)x+4 Neither I only II only I and II

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Which of the following equations represents a line that passes through the points  (-4,5) and  (6,0) ? I.  3x+6y=12 II.  y=-(1)/(2)x+4 Neither I only II only I and II

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Find Slope: Find the slope of the line using the given points (-4,5) and (6,0). Slope, m = (y2 - y1) / (x2 - x1) = (0 - 5) / (6 - (-4)) = (-5) / (10) = -1/2.Find Y-Intercept: Use one of the points to find the y-intercept (b) of the line. Let's use the point (6,0). We have m = -1/2 and the point (6,0). Substitute x = 6, y = 0, and m = -1/2 in y = mx + b. 0 = (-1/2)(6) + b 0 = -3 + b b = 3Write Equation: Write the equation of the line in slope-intercept form using the slope m = -1/2 and y-intercept b = 3. y = mx + b y = (-1/2)x + 3Check Equation I: Check if equation I (3x + 6y = 12) represents the line that passes through the points (-4,5) and (6,0). To do this, we can convert the equation to slope-intercept form by solving for y. 3x + 6y = 12 6y = -3x + 12 y = (-3x + 12) / 6 y = (-1/2)x + 2 This equation has the same slope as the one we found, but a different y-intercept. Therefore, equation I does not represent the line that passes through the given points.Check Equation II: Check if equation II (y = -(1/2)x + 4) represents the line that passes through the points (-4,5) and (6,0). The slope of equation II is -1/2, which matches the slope we found. However, the y-intercept is 4, which does not match the y-intercept we found (3). Therefore, equation II also does not represent the line that passes through the given points.Final Answer: Since neither equation I nor equation II has both the correct slope and y-intercept that match the line passing through the points (-4,5) and (6,0), the correct answer is ＂Neither.＂

Which of the following equations represents a line that passes through the points $(-4,5)$ and $(6,0)$ ? $\newline$ I. $3 x+6 y=12$ $\newline$ II. $y=-\frac{1}{2} x+4$ $\newline$ Neither $\newline$ I only $\newline$ II only $\newline$ I and II

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Which of the following equations represents a line that passes through the points (−4,5) (-4,5) (−4,5) and (6,0) (6,0) (6,0) ?\newlineI. 3x+6y=12 3 x+6 y=12 3x+6y=12\newlineII. y=−12x+4 y=-\frac{1}{2} x+4 y=−21​x+4\newlineNeither\newlineI only\newlineII only\newlineI and II

Which of the following equations represents a line that passes through the points $(-4,5)$ and $(6,0)$ ? $\newline$ I. $3 x+6 y=12$ $\newline$ II. $y=-\frac{1}{2} x+4$ $\newline$ Neither $\newline$ I only $\newline$ II only $\newline$ I and II