Find the equation of the line that contains the two given points. (6, 1), (12, 8)
A) 7 x $-$ 6 y = 36
B) 7 x $-$ 6 y = 36.
C) 7 x + 6 y = -36
D) 7 x + 6 y = 36

Question

Quizplus · Accepted Answer

The slope of the line through the points (6, 1) and (12, 8) is $m = \frac{8 - 1}{12 - 6} = \frac{7}{6}$. Using point-slope form, $y - y_1 = m(x - x_1)$, and choosing point (6, 1), we get $y - 1 = \frac{7}{6}(x - 6)$. Multiplying through by 6 to clear the fraction gives $6y - 6 = 7x - 42$, which simplifies to $7x - 6y = 36$, matching option A.

Find the Equation of the Line That Contains the Two −-−

Find the Equation of the Line That Contains the Two $-$