Which of the following equations represents a line that passes through the points (-10,9) and (5,0) ? I. 3x+5y=10 II. y=-(3)/(5)x+3 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  (-10,9) and  (5,0) ? I.  3x+5y=10 II.  y=-(3)/(5)x+3 Neither I only II only I and II

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Calculate slope: Calculate the slope of the line using the given points (-10,9) and (5,0). Slope (m) = (y2 - y1) / (x2 - x1) = (0 - 9) / (5 - (-10)) = (-9) / (15) = -3/5.Find y-intercept: Use one of the points to find the y-intercept (b) of the line. Let's use the point (5,0). We have the slope m = -3/5 and the point (x, y) = (5, 0). Using the point-slope form y - y1 = m(x - x1), we get: 0 - 9 = (-3/5)(5 - (-10)). Simplifying, we get: -9 = (-3/5)(15). -9 = -9. This confirms that the slope is correct. Now, we need to find the y-intercept.Slope-intercept form: To find the y-intercept, we can use the slope-intercept form y = mx + b, where m is the slope and b is the y-intercept. Using the point (5,0) again, we substitute m = -3/5 and x = 5 into the equation to solve for b: 0 = (-3/5)(5) + b. 0 = -3 + b. b = 3.Check equation I: Write the equation of the line in slope-intercept form using the slope m = -3/5 and the y-intercept b = 3. The equation is y = (-3/5)x + 3.Check equation II: Check if the equation I (3x + 5y = 10) represents the line that passes through the points (-10,9) and (5,0). Substitute the point (-10,9) into the equation: 3(-10) + 5(9) = -30 + 45 = 15, which is not equal to 10. Therefore, equation I does not represent the line that passes through the given points.Determine correct answer: Check if the equation II (y = -(3/5)x + 3) represents the line that passes through the points (-10,9) and (5,0). We have already derived this equation in Step 4, so it does represent the line that passes through the given points.Determine the correct answer based on the checks performed in Steps 5 and 6. Since equation I does not represent the line and equation II does, the correct answer is ＂II only＂.

Which of the following equations represents a line that passes through the points $(-10,9)$ and $(5,0)$ ? $\newline$ I. $3 x+5 y=10$ $\newline$ II. $y=-\frac{3}{5} x+3$ $\newline$ 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 (−10,9) (-10,9) (−10,9) and (5,0) (5,0) (5,0) ?\newlineI. 3x+5y=10 3 x+5 y=10 3x+5y=10\newlineII. y=−35x+3 y=-\frac{3}{5} x+3 y=−53​x+3\newlineNeither\newlineI only\newlineII only\newlineI and II

Which of the following equations represents a line that passes through the points $(-10,9)$ and $(5,0)$ ? $\newline$ I. $3 x+5 y=10$ $\newline$ II. $y=-\frac{3}{5} x+3$ $\newline$ Neither $\newline$ I only $\newline$ II only $\newline$ I and II