Find the equation of the line through the given pair of points in standard form using only integers.
-(-3, 3) and (3, 8)
A) 5x - 6y = -27
B) 5x - 3y = -33
C) 5x - 6y = -33
D) 8x - 6y = -33

Question

Quizplus · Accepted Answer

To find the equation of the line, first calculate the slope (m) using the formula m = (y2 - y1) / (x2 - x1). For points (-3, 3) and (3, 8), the slope is (8 - 3) / (3 + 3) = 5/6. Using point-slope form y - y1 = m(x - x1) with point (3, 8), we get y - 8 = 5/6(x - 3). Converting to standard form, multiply through by 6 to eliminate the fraction: 6(y - 8) = 5(x - 3), which simplifies to 5x - 6y = -33.

Find the Equation of the Line Through the Given Pair