Question

# Which equation represents a line that passes through the points (5,-2) and (8,4)? A. y= -2x*8 B. y= 1/2x-9/2 C. y=x-6 D. y=2x-12

Answer

The appropriate option is D. The equation for the line is y = 2x -12. Step-by-step explanation: The slope of the line passing through points (5,-2) and (8,4) is given by m = (y2 - y1)/(x2 - x1) = (4 - (-2))/(8 - 5) = 6/3 = 2. The y-intercept of the line can be found by using any of the two points and the slope. Using (5,-2) and the slope of 2, we have: y - y1 = m(x - x1) y - (-2) = 2(x - 5) y + 2 = 2x - 10 y = 2x - 12 Therefore, the equation for the line passing through points (5,-2) and (8,4) is y = 2x -12.