Find the equation of the line passing through the indicated two points in standard form.
-(-4, 0)and (5, 7)
A) $4 x + 2 y = 6$
B) $7 x - 9 y = - 28$
C) $- 7 x - 9 y = - 28$
D) $- 4 x - 2 y = 6$

Question

Find the equation of the line passing through the indicated two points in standard form.
-(-4, 0)and (5, 7) 
A) $4 x + 2 y = 6$
B) $7 x - 9 y = - 28$
C) $- 7 x - 9 y = - 28$
D) $- 4 x - 2 y = 6$

Quizplus · Accepted Answer

To find the equation of the line passing through the points (-4, 0) and (5, 7), we can use the two-point form of the equation of a line: $\frac{y - y_1}{x - x_1} = \frac{y_2 - y_1}{x_2 - x_1}$. Substituting the given points (-4, 0) and (5, 7) into this formula gives us the slope $m = \frac{7 - 0}{5 - (-4)} = \frac{7}{9}$. Then, using the point-slope form $y - y_1 = m(x - x_1)$ with one of the given points, say (-4, 0), we get $y - 0 = \frac{7}{9}(x + 4)$. Multiplying both sides by 9 to clear the fraction gives $9y = 7(x + 4)$, which simplifies to $9y = 7x + 28$. Rearranging to standard form $Ax + By = C$, we get $7x - 9y = -28$, which matches option B.

Find the Equation of the Line Passing Through the Indicated 4x+2y=64 x + 2 y = 64x+2y=6

Find the Equation of the Line Passing Through the Indicated $4 x + 2 y = 6$